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strict';\nvar ctx = require('./_ctx');\nvar $export = require('./_export');\nvar toObject = require('./_to-object');\nvar call = require('./_iter-call');\nvar isArrayIter = require('./_is-array-iter');\nvar toLength = require('./_to-length');\nvar createProperty = require('./_create-property');\nvar getIterFn = require('./core.get-iterator-method');\n\n$export($export.S + $export.F * !require('./_iter-detect')(function (iter) { Array.from(iter); }), 'Array', {\n  // 22.1.2.1 Array.from(arrayLike, mapfn = undefined, thisArg = undefined)\n  from: function from(arrayLike /* , mapfn = undefined, thisArg = undefined */) {\n    var O = toObject(arrayLike);\n    var C = typeof this == 'function' ? this : Array;\n    var aLen = arguments.length;\n    var mapfn = aLen > 1 ? arguments[1] : undefined;\n    var mapping = mapfn !== undefined;\n    var index = 0;\n    var iterFn = getIterFn(O);\n    var length, result, step, iterator;\n    if (mapping) mapfn = ctx(mapfn, aLen > 2 ? arguments[2] : undefined, 2);\n    // if object isn't iterable or it's array with default iterator - use simple case\n    if (iterFn != undefined && !(C == Array && isArrayIter(iterFn))) {\n      for (iterator = iterFn.call(O), result = new C(); !(step = iterator.next()).done; index++) {\n        createProperty(result, index, mapping ? call(iterator, mapfn, [step.value, index], true) : step.value);\n      }\n    } else {\n      length = toLength(O.length);\n      for (result = new C(length); length > index; index++) {\n        createProperty(result, index, mapping ? mapfn(O[index], index) : O[index]);\n      }\n    }\n    result.length = index;\n    return result;\n  }\n});\n","// 22.1.2.2 / 15.4.3.2 Array.isArray(arg)\nvar $export = require('./_export');\n\n$export($export.S, 'Array', { isArray: require('./_is-array') });\n","exports.f = require('./_wks');\n","// 21.2.5.3 get RegExp.prototype.flags()\nif (require('./_descriptors') && /./g.flags != 'g') require('./_object-dp').f(RegExp.prototype, 'flags', {\n  configurable: true,\n  get: require('./_flags')\n});\n","var global = require('./_global');\nvar core = require('./_core');\nvar LIBRARY = require('./_library');\nvar wksExt = require('./_wks-ext');\nvar defineProperty = require('./_object-dp').f;\nmodule.exports = function (name) {\n  var $Symbol = core.Symbol || (core.Symbol = LIBRARY ? {} : global.Symbol || {});\n  if (name.charAt(0) != '_' && !(name in $Symbol)) defineProperty($Symbol, name, { value: wksExt.f(name) });\n};\n","'use strict';\nrequire('./es6.regexp.flags');\nvar anObject = require('./_an-object');\nvar $flags = require('./_flags');\nvar DESCRIPTORS = require('./_descriptors');\nvar TO_STRING = 'toString';\nvar $toString = /./[TO_STRING];\n\nvar define = function (fn) {\n  require('./_redefine')(RegExp.prototype, TO_STRING, fn, true);\n};\n\n// 21.2.5.14 RegExp.prototype.toString()\nif (require('./_fails')(function () { return $toString.call({ source: 'a', flags: 'b' }) != '/a/b'; })) {\n  define(function toString() {\n    var R = anObject(this);\n    return '/'.concat(R.source, '/',\n      'flags' in R ? R.flags : !DESCRIPTORS && R instanceof RegExp ? $flags.call(R) : undefined);\n  });\n// FF44- RegExp#toString has a wrong name\n} else if ($toString.name != TO_STRING) {\n  define(function toString() {\n    return $toString.call(this);\n  });\n}\n","// fallback for IE11 buggy Object.getOwnPropertyNames with iframe and window\nvar toIObject = require('./_to-iobject');\nvar gOPN = require('./_object-gopn').f;\nvar toString = {}.toString;\n\nvar windowNames = typeof window == 'object' && window && Object.getOwnPropertyNames\n  ? Object.getOwnPropertyNames(window) : [];\n\nvar getWindowNames = function (it) {\n  try {\n    return gOPN(it);\n  } catch (e) {\n    return windowNames.slice();\n  }\n};\n\nmodule.exports.f = function getOwnPropertyNames(it) {\n  return windowNames && toString.call(it) == '[object Window]' ? getWindowNames(it) : gOPN(toIObject(it));\n};\n","var DateProto = Date.prototype;\nvar INVALID_DATE = 'Invalid Date';\nvar TO_STRING = 'toString';\nvar $toString = DateProto[TO_STRING];\nvar getTime = DateProto.getTime;\nif (new Date(NaN) + '' != INVALID_DATE) {\n  require('./_redefine')(DateProto, TO_STRING, function toString() {\n    var value = getTime.call(this);\n    // eslint-disable-next-line no-self-compare\n    return value === value ? $toString.call(this) : INVALID_DATE;\n  });\n}\n","'use strict';\n// ECMAScript 6 symbols shim\nvar global = require('./_global');\nvar has = require('./_has');\nvar DESCRIPTORS = require('./_descriptors');\nvar $export = require('./_export');\nvar redefine = require('./_redefine');\nvar META = require('./_meta').KEY;\nvar $fails = require('./_fails');\nvar shared = require('./_shared');\nvar setToStringTag = require('./_set-to-string-tag');\nvar uid = require('./_uid');\nvar wks = require('./_wks');\nvar wksExt = require('./_wks-ext');\nvar wksDefine = require('./_wks-define');\nvar enumKeys = require('./_enum-keys');\nvar isArray = require('./_is-array');\nvar anObject = require('./_an-object');\nvar isObject = require('./_is-object');\nvar toObject = require('./_to-object');\nvar toIObject = require('./_to-iobject');\nvar toPrimitive = require('./_to-primitive');\nvar createDesc = require('./_property-desc');\nvar _create = require('./_object-create');\nvar gOPNExt = require('./_object-gopn-ext');\nvar $GOPD = require('./_object-gopd');\nvar $GOPS = require('./_object-gops');\nvar $DP = require('./_object-dp');\nvar $keys = require('./_object-keys');\nvar gOPD = $GOPD.f;\nvar dP = $DP.f;\nvar gOPN = gOPNExt.f;\nvar $Symbol = global.Symbol;\nvar $JSON = global.JSON;\nvar _stringify = $JSON && $JSON.stringify;\nvar PROTOTYPE = 'prototype';\nvar HIDDEN = wks('_hidden');\nvar TO_PRIMITIVE = wks('toPrimitive');\nvar isEnum = {}.propertyIsEnumerable;\nvar SymbolRegistry = shared('symbol-registry');\nvar AllSymbols = shared('symbols');\nvar OPSymbols = shared('op-symbols');\nvar ObjectProto = Object[PROTOTYPE];\nvar USE_NATIVE = typeof $Symbol == 'function' && !!$GOPS.f;\nvar QObject = global.QObject;\n// Don't use setters in Qt Script, https://github.com/zloirock/core-js/issues/173\nvar setter = !QObject || !QObject[PROTOTYPE] || !QObject[PROTOTYPE].findChild;\n\n// fallback for old Android, https://code.google.com/p/v8/issues/detail?id=687\nvar setSymbolDesc = DESCRIPTORS && $fails(function () {\n  return _create(dP({}, 'a', {\n    get: function () { return dP(this, 'a', { value: 7 }).a; }\n  })).a != 7;\n}) ? function (it, key, D) {\n  var protoDesc = gOPD(ObjectProto, key);\n  if (protoDesc) delete ObjectProto[key];\n  dP(it, key, D);\n  if (protoDesc && it !== ObjectProto) dP(ObjectProto, key, protoDesc);\n} : dP;\n\nvar wrap = function (tag) {\n  var sym = AllSymbols[tag] = _create($Symbol[PROTOTYPE]);\n  sym._k = tag;\n  return sym;\n};\n\nvar isSymbol = USE_NATIVE && typeof $Symbol.iterator == 'symbol' ? function (it) {\n  return typeof it == 'symbol';\n} : function (it) {\n  return it instanceof $Symbol;\n};\n\nvar $defineProperty = function defineProperty(it, key, D) {\n  if (it === ObjectProto) $defineProperty(OPSymbols, key, D);\n  anObject(it);\n  key = toPrimitive(key, true);\n  anObject(D);\n  if (has(AllSymbols, key)) {\n    if (!D.enumerable) {\n      if (!has(it, HIDDEN)) dP(it, HIDDEN, createDesc(1, {}));\n      it[HIDDEN][key] = true;\n    } else {\n      if (has(it, HIDDEN) && it[HIDDEN][key]) it[HIDDEN][key] = false;\n      D = _create(D, { enumerable: createDesc(0, false) });\n    } return setSymbolDesc(it, key, D);\n  } return dP(it, key, D);\n};\nvar $defineProperties = function defineProperties(it, P) {\n  anObject(it);\n  var keys = enumKeys(P = toIObject(P));\n  var i = 0;\n  var l = keys.length;\n  var key;\n  while (l > i) $defineProperty(it, key = keys[i++], P[key]);\n  return it;\n};\nvar $create = function create(it, P) {\n  return P === undefined ? _create(it) : $defineProperties(_create(it), P);\n};\nvar $propertyIsEnumerable = function propertyIsEnumerable(key) {\n  var E = isEnum.call(this, key = toPrimitive(key, true));\n  if (this === ObjectProto && has(AllSymbols, key) && !has(OPSymbols, key)) return false;\n  return E || !has(this, key) || !has(AllSymbols, key) || has(this, HIDDEN) && this[HIDDEN][key] ? E : true;\n};\nvar $getOwnPropertyDescriptor = function getOwnPropertyDescriptor(it, key) {\n  it = toIObject(it);\n  key = toPrimitive(key, true);\n  if (it === ObjectProto && has(AllSymbols, key) && !has(OPSymbols, key)) return;\n  var D = gOPD(it, key);\n  if (D && has(AllSymbols, key) && !(has(it, HIDDEN) && it[HIDDEN][key])) D.enumerable = true;\n  return D;\n};\nvar $getOwnPropertyNames = function getOwnPropertyNames(it) {\n  var names = gOPN(toIObject(it));\n  var result = [];\n  var i = 0;\n  var key;\n  while (names.length > i) {\n    if (!has(AllSymbols, key = names[i++]) && key != HIDDEN && key != META) result.push(key);\n  } return result;\n};\nvar $getOwnPropertySymbols = function getOwnPropertySymbols(it) {\n  var IS_OP = it === ObjectProto;\n  var names = gOPN(IS_OP ? OPSymbols : toIObject(it));\n  var result = [];\n  var i = 0;\n  var key;\n  while (names.length > i) {\n    if (has(AllSymbols, key = names[i++]) && (IS_OP ? has(ObjectProto, key) : true)) result.push(AllSymbols[key]);\n  } return result;\n};\n\n// 19.4.1.1 Symbol([description])\nif (!USE_NATIVE) {\n  $Symbol = function Symbol() {\n    if (this instanceof $Symbol) throw TypeError('Symbol is not a constructor!');\n    var tag = uid(arguments.length > 0 ? arguments[0] : undefined);\n    var $set = function (value) {\n      if (this === ObjectProto) $set.call(OPSymbols, value);\n      if (has(this, HIDDEN) && has(this[HIDDEN], tag)) this[HIDDEN][tag] = false;\n      setSymbolDesc(this, tag, createDesc(1, value));\n    };\n    if (DESCRIPTORS && setter) setSymbolDesc(ObjectProto, tag, { configurable: true, set: $set });\n    return wrap(tag);\n  };\n  redefine($Symbol[PROTOTYPE], 'toString', function toString() {\n    return this._k;\n  });\n\n  $GOPD.f = $getOwnPropertyDescriptor;\n  $DP.f = $defineProperty;\n  require('./_object-gopn').f = gOPNExt.f = $getOwnPropertyNames;\n  require('./_object-pie').f = $propertyIsEnumerable;\n  $GOPS.f = $getOwnPropertySymbols;\n\n  if (DESCRIPTORS && !require('./_library')) {\n    redefine(ObjectProto, 'propertyIsEnumerable', $propertyIsEnumerable, true);\n  }\n\n  wksExt.f = function (name) {\n    return wrap(wks(name));\n  };\n}\n\n$export($export.G + $export.W + $export.F * !USE_NATIVE, { Symbol: $Symbol });\n\nfor (var es6Symbols = (\n  // 19.4.2.2, 19.4.2.3, 19.4.2.4, 19.4.2.6, 19.4.2.8, 19.4.2.9, 19.4.2.10, 19.4.2.11, 19.4.2.12, 19.4.2.13, 19.4.2.14\n  'hasInstance,isConcatSpreadable,iterator,match,replace,search,species,split,toPrimitive,toStringTag,unscopables'\n).split(','), j = 0; es6Symbols.length > j;)wks(es6Symbols[j++]);\n\nfor (var wellKnownSymbols = $keys(wks.store), k = 0; wellKnownSymbols.length > k;) wksDefine(wellKnownSymbols[k++]);\n\n$export($export.S + $export.F * !USE_NATIVE, 'Symbol', {\n  // 19.4.2.1 Symbol.for(key)\n  'for': function (key) {\n    return has(SymbolRegistry, key += '')\n      ? SymbolRegistry[key]\n      : SymbolRegistry[key] = $Symbol(key);\n  },\n  // 19.4.2.5 Symbol.keyFor(sym)\n  keyFor: function keyFor(sym) {\n    if (!isSymbol(sym)) throw TypeError(sym + ' is not a symbol!');\n    for (var key in SymbolRegistry) if (SymbolRegistry[key] === sym) return key;\n  },\n  useSetter: function () { setter = true; },\n  useSimple: function () { setter = false; }\n});\n\n$export($export.S + $export.F * !USE_NATIVE, 'Object', {\n  // 19.1.2.2 Object.create(O [, Properties])\n  create: $create,\n  // 19.1.2.4 Object.defineProperty(O, P, Attributes)\n  defineProperty: $defineProperty,\n  // 19.1.2.3 Object.defineProperties(O, Properties)\n  defineProperties: $defineProperties,\n  // 19.1.2.6 Object.getOwnPropertyDescriptor(O, P)\n  getOwnPropertyDescriptor: $getOwnPropertyDescriptor,\n  // 19.1.2.7 Object.getOwnPropertyNames(O)\n  getOwnPropertyNames: $getOwnPropertyNames,\n  // 19.1.2.8 Object.getOwnPropertySymbols(O)\n  getOwnPropertySymbols: $getOwnPropertySymbols\n});\n\n// Chrome 38 and 39 `Object.getOwnPropertySymbols` fails on primitives\n// https://bugs.chromium.org/p/v8/issues/detail?id=3443\nvar FAILS_ON_PRIMITIVES = $fails(function () { $GOPS.f(1); });\n\n$export($export.S + $export.F * FAILS_ON_PRIMITIVES, 'Object', {\n  getOwnPropertySymbols: function getOwnPropertySymbols(it) {\n    return $GOPS.f(toObject(it));\n  }\n});\n\n// 24.3.2 JSON.stringify(value [, replacer [, space]])\n$JSON && $export($export.S + $export.F * (!USE_NATIVE || $fails(function () {\n  var S = $Symbol();\n  // MS Edge converts symbol values to JSON as {}\n  // WebKit converts symbol values to JSON as null\n  // V8 throws on boxed symbols\n  return _stringify([S]) != '[null]' || _stringify({ a: S }) != '{}' || _stringify(Object(S)) != '{}';\n})), 'JSON', {\n  stringify: function stringify(it) {\n    var args = [it];\n    var i = 1;\n    var replacer, $replacer;\n    while (arguments.length > i) args.push(arguments[i++]);\n    $replacer = replacer = args[1];\n    if (!isObject(replacer) && it === undefined || isSymbol(it)) return; // IE8 returns string on undefined\n    if (!isArray(replacer)) replacer = function (key, value) {\n      if (typeof $replacer == 'function') value = $replacer.call(this, key, value);\n      if (!isSymbol(value)) return value;\n    };\n    args[1] = replacer;\n    return _stringify.apply($JSON, args);\n  }\n});\n\n// 19.4.3.4 Symbol.prototype[@@toPrimitive](hint)\n$Symbol[PROTOTYPE][TO_PRIMITIVE] || require('./_hide')($Symbol[PROTOTYPE], TO_PRIMITIVE, $Symbol[PROTOTYPE].valueOf);\n// 19.4.3.5 Symbol.prototype[@@toStringTag]\nsetToStringTag($Symbol, 'Symbol');\n// 20.2.1.9 Math[@@toStringTag]\nsetToStringTag(Math, 'Math', true);\n// 24.3.3 JSON[@@toStringTag]\nsetToStringTag(global.JSON, 'JSON', true);\n","require('./_wks-define')('asyncIterator');\n","// all enumerable object keys, includes symbols\nvar getKeys = require('./_object-keys');\nvar gOPS = require('./_object-gops');\nvar pIE = require('./_object-pie');\nmodule.exports = function (it) {\n  var result = getKeys(it);\n  var getSymbols = gOPS.f;\n  if (getSymbols) {\n    var symbols = getSymbols(it);\n    var isEnum = pIE.f;\n    var i = 0;\n    var key;\n    while (symbols.length > i) if (isEnum.call(it, key = symbols[i++])) result.push(key);\n  } return result;\n};\n","var render = function render(){var _vm=this,_c=_vm._self._c;return _c('div',[_c('br'),_c('h5',[_vm._v(\"Problem Description\")]),_vm._m(0),_c('h5',[_vm._v(\" Buttons on the MagicGraph \")]),_vm._m(1),_c('h5',[_vm._v(\" Marks & Indications \")]),_vm._m(2),_c('br'),_vm._m(3),_c('v-responsive',[_c('v-layout',{attrs:{\"justify-center\":\"\"}},[_c('div',{staticClass:\"edliy-box-about\",attrs:{\"id\":\"jxgbox1\"}})])],1)],1)\n}\nvar staticRenderFns = [function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"big mt-2\"},[_vm._v(\"\\n    Imagine a particle ('P') tied to the rim of a circular disc. The disc is spinning at an angular speed of ω.\\n    The angular position of the particle at any time is given by angle α. Thus, dα/dt = ω. \"),_c('br'),_vm._v(\"\\n    Now, let's say the Cartesian coordinates of the particle are given by — (x, y).\\n    \"),_c('br'),_vm._v(\"\\n    The goal is to find the horizontal velocity of the particle, which is dx/dt, at the given location of the particle.\\n    \"),_c('br')])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"big mt-2\"},[_c('i',{staticClass:\"shuffler ma-1\"}),_vm._v(\" — is the 'Start Over' button. Tap on this button to start over the exercise from the begining. \"),_c('br'),_c('i',{staticClass:\"tester ma-1\"}),_vm._v(\" — is the 'Check Your Answer' button. Tap on this button to check your answer and move over to the next question.\"),_c('br'),_c('i',{staticClass:\"logor ma-1\"}),_vm._v(\"—  is the 'Get a Hint' button. Tap on this button to receive a hint on how to solve this problem.\\n  \")])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"big mt-2\"},[_vm._v(\"\\n    The marks and indications are located on the top-left corner of the MagicGraph, and show your attempt status. \"),_c('br'),_c('i',{staticClass:\"righter ma-1\"}),_vm._v(\" — the right checkmark that your attempted response was correct. \"),_c('br'),_c('i',{staticClass:\"wrong ma-1\"}),_vm._v(\" — this crossmark indicates that your attempted response was incorrect. \"),_c('br'),_c('i',{staticClass:\"missed ma-1\"}),_vm._v(\" — this exclaimation mark indicates an unattempted (missed) response. \"),_c('br')])\n},function (){var _vm=this,_c=_vm._self._c;return _c('div',{staticStyle:{\"text-align\":\"center\"}},[_c('h3',[_vm._v(\" MagicGraph | Derivative as Rate of Change \")])])\n}]\n\nexport { render, staticRenderFns }","////////////////////////////////////////////////////////\r\nvar printArray =[];\r\nexport function createSpace(xmin, xmax, ymin, ymax){\r\nlet graph = JXG.JSXGraph.initBoard('jxgbox1',{boundingbox: [xmin, ymax, xmax, ymin],\r\n    keepaspectratio: true, axis:false, ticks:{visible:false},\r\n    grid:true, showCopyright:false, showNavigation:false,\r\n    pan:{enabled:false}, zoom:{enabled:false}});\r\nreturn graph\r\n  }\r\n///////////////removing the object/////////////////////////////////////////////\r\nfunction removeIt(board, obj)\r\n{\r\nboard.removeObject(obj);\r\n}\r\n///////////////////////repeat an action////////////////////////////////////////////////////\r\nexport function repeatTask(n, act)\r\n{\r\nfor(let i=0;i<n;i++){\r\n  act(i);\r\n}\r\n}\r\n/////////////////////////////////////////////////////////////////////////////////////////////\r\nexport function placeCircles(board){\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/12;\r\n  const positionX = -(boundingBox[2]-boundingBox[0])/2+0.5;\r\n  const positionY = (boundingBox[2]-boundingBox[0])/2+0.5;\r\n  let imgs=[];\r\n  for(let i=0;i<=4;i++){\r\n  imgs[i]=board.create('image',['/assets/circleWhite.svg', [positionX+i-0.375, positionY-0.375],[0.75,0.75]], {\r\n    opacity:1,\r\n    fixed:true,\r\n    highlight:false,\r\n    rotate:0,\r\n    visible:true\r\n  });\r\n}\r\n return imgs;\r\n}\r\n//////////////////////////\r\nexport function placeYCircles(board){\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/12;\r\n  const positionX = -(boundingBox[2]-boundingBox[0])/2+0.5;\r\n  const positionY = (boundingBox[2]-boundingBox[0])/2+0.5;\r\n  let imgs=[];\r\n  for(let i=0;i<=4;i++){\r\n  imgs[i]=board.create('image',['/assets/circle.svg', [positionX+i-0.375, positionY-0.375],[0.75,0.75]], {\r\n    opacity:1,\r\n    fixed:true,\r\n    highlight:false,\r\n    rotate:0,\r\n    visible:true\r\n  });\r\n}\r\n return imgs;\r\n}\r\n///////////////////////////////////////////Blue Circles////////\r\nexport function placeBCircles(board){\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/12;\r\n  const positionX = -(boundingBox[2]-boundingBox[0])/2+0.5;\r\n  const positionY = (boundingBox[2]-boundingBox[0])/2+0.5;\r\n  let imgs=[];\r\n  for(let i=0;i<=4;i++){\r\n  imgs[i]=board.create('image',['/assets/blueCircle.svg', [positionX+i-0.375, positionY-0.375],[0.75,0.75]], {\r\n    opacity:1,\r\n    fixed:true,\r\n    highlight:false,\r\n    rotate:0,\r\n    visible:true\r\n  });\r\n}\r\n return imgs;\r\n}\r\n////////////////////////////////////////////////////////////////////\r\nexport function placeExclaim(board){\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/12;\r\n  const positionX = -(boundingBox[2]-boundingBox[0])/2+0.5;\r\n  const positionY = (boundingBox[2]-boundingBox[0])/2+0.5;\r\n  let imgs=[];\r\n  for(let i=0;i<=4;i++){\r\n  imgs[i]=board.create('image',['/assets/exclaim.svg', [positionX+i-0.25, positionY-0.25],[0.5,0.5]], {\r\n    opacity:1,\r\n    fixed:true,\r\n    highlight:false,\r\n    rotate:0,\r\n    visible:false\r\n  });\r\n}\r\n return imgs;\r\n}\r\n///////////////////////////////////////////////////////////Checkmarks/////////////////////\r\nexport function placeChecks(board){\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/12;\r\n  const positionX = -(boundingBox[2]-boundingBox[0])/2+0.5;\r\n  const positionY = (boundingBox[2]-boundingBox[0])/2+0.5;\r\n  let imgs=[];\r\n  for(let i=0;i<=4;i++){\r\n  imgs[i]=board.create('image',['/assets/check.svg', [positionX+i-0.25, positionY-0.25],[0.5,0.5]], {\r\n    opacity:1,\r\n    fixed:true,\r\n    highlight:false,\r\n    rotate:0,\r\n    visible:false\r\n  });\r\n}\r\n return imgs;\r\n}\r\n////////////////////////////////////////////////////////////////////////////////////////////\r\nexport function placeCross(board){\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/12;\r\n  const positionX = -(boundingBox[2]-boundingBox[0])/2+0.5;\r\n  const positionY = (boundingBox[2]-boundingBox[0])/2+0.5;\r\n  let imgs=[];\r\n  for(let i=0;i<=4;i++){\r\n  imgs[i]=board.create('image',['/assets/cross.svg', [positionX+i-0.25, positionY-0.25],[0.5,0.5]], {\r\n    opacity:1,\r\n    fixed:true,\r\n    highlight:false,\r\n    rotate:0,\r\n    visible:false\r\n  });\r\n}\r\n return imgs;\r\n}\r\n/////////////////////////////////////////////////////////////////////////////////////\r\nexport function cycle(j, max){\r\n  if(j< max){\r\n    j+=1;\r\n  }\r\n  else{\r\n    j=0;\r\n  }\r\n  return j;\r\n}\r\n///////////////////////////////placeQuestion///////////////////\r\nexport function placeQuestion(board, msg){\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/12;\r\n  const positionX = -(boundingBox[2]-boundingBox[0])/2+0.5;\r\n  const positionY = Math.abs((boundingBox[1]-boundingBox[3])/2)-0.5;\r\n  const m ={\r\n  anchorX: 'left',\r\n  display: 'html',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  color:'black',\r\n  CssStyle: 'fontFamily:Oswald;',\r\n  highlight:false,\r\n  fontSize: () => Math.round(26*board.canvasWidth /800.)};\r\n  ////////////////////////////////////////////////////////\r\n  let imgs =board.create('text', [positionX, positionY,  msg], m);\r\n  return imgs;\r\n}\r\n///////////////////////////////placeComment////////////////////\r\nexport function placeComment(board, msg){\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/12;\r\n  const positionX = -(boundingBox[2]-boundingBox[0])/2+0.5;\r\n  const positionY = (boundingBox[2]-boundingBox[0])/2-0.5;\r\n  const m ={\r\n  anchorX: 'left',\r\n  display: 'html',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  color:'black',\r\n  CssStyle: 'fontFamily:Oswald;',\r\n  highlight:false,\r\n  fontSize: () => Math.round(26*board.canvasWidth /800.)};\r\n  ////////////////////////////////////////////////////////\r\n  let imgs =board.create('text', [positionX, positionY-5,  msg], m);\r\n  return imgs;\r\n}\r\n//////////////////////////////////////////////////////////////////////\r\nexport function listAns(board, obj){\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/12;\r\n  const positionX = -(boundingBox[2]-boundingBox[0])/2+0.5;\r\n  const positionY = (boundingBox[2]-boundingBox[0])/2-0.5;\r\n  const m ={\r\n  anchorX: 'left',\r\n  display: 'html',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  color:'grey',\r\n  CssStyle: 'fontFamily:Oswald;',\r\n  highlight:false,\r\n  fontSize: () => Math.round(26*board.canvasWidth /800.)};\r\n  ////////////////////////////////////////////////////////\r\n  const letters =['a. ', 'b.  ', 'c. ', 'd.  '];\r\n  let imgs =[];\r\n  let txts =[];\r\n  txts[0] =board.create('text', [positionX+0.15, positionY-1,  ()=>letters[0]+obj[0]], m);\r\n  txts[1] =board.create('text', [positionX+0.15, positionY-2,  ()=>letters[1]+obj[1]], m);\r\n  txts[2] =board.create('text', [positionX+0.15, positionY-3,  ()=>letters[2]+obj[2]], m);\r\n  txts[3] =board.create('text', [positionX+0.15, positionY-4,  ()=>letters[3]+obj[3]], m);\r\n  for(let il=0; il<=3; il++)\r\n  {\r\n  ////////////////////////////////////////////////////////////////////////////////////////////////\r\n  imgs[il]=board.create('image',['/assets/finger.svg', [positionX-0.35, positionY-il-0.35-1],[0.5,0.5]], {\r\n    opacity:1,\r\n    fixed:true,\r\n    highlight:false,\r\n    rotate:0,\r\n    visible:false\r\n  });\r\n  //////////////////////////////////////////////////////////////////////////////////////////////////\r\n  txts[il].on('down',\r\n  function(){\r\n    txts.forEach(function(item){item.setAttribute({color:'grey'})});\r\n    imgs.forEach(function(item){item.setAttribute({visible:false})});\r\n    txts[il].setAttribute({color:'black'});\r\n    imgs[il].setAttribute({visible:true});\r\n    index_selected_answer = il.valueOf();;\r\n  });\r\n  ///////////////////////////////////////////////////////////////////////////////////////////////\r\n}\r\n  return [txts, imgs];\r\n}\r\n//////////////////////////////////\r\nexport function moveIt(obj, xnew, ynew){\r\n  obj.moveTo([xnew, ynew], 1000);\r\n}\r\n/////////////////////////////////////////////////////////////////////\r\nexport function draw3DBox(board, Pt,col)\r\n{\r\n  let ops = {\r\n  vertices:{visible:false},\r\n  fillOpacity:1,\r\n  fillColor:col,\r\n  highlight:false,\r\n  borders:{strokeColor:'black',\r\n  highlight:false,\r\n  strokeWidth: ()=>Math.round(1*board.canvasWidth/800.)}}\r\n  let f1 =board.create('regularpolygon', [[()=>Pt[0], ()=>Pt[1]], [()=>Pt[0]+1, ()=>Pt[1]], 4],ops);\r\n  let f2 = board.create('regularpolygon', [[()=>Pt[0]+0.5, ()=>Pt[1]+0.5], [()=>Pt[0]+0.5+1, ()=>Pt[1]+0.5], 4],ops);\r\n  let f3 =board.create('polygon', [[()=>Pt[0], ()=>Pt[1]+1], [()=>Pt[0]+1, ()=>Pt[1]+1],[()=>Pt[0]+1+0.5, ()=>Pt[1]+1+0.5],[()=>Pt[0]+0.5, ()=>Pt[1]+1+0.5]], ops);\r\n  let f4 = board.create('polygon', [[()=>Pt[0]+1, ()=>Pt[1]], [()=>Pt[0]+1, ()=>Pt[1]+1],[()=>Pt[0]+1+0.5, ()=>Pt[1]+1+0.5],[()=>Pt[0]+1+0.5, ()=>Pt[1]+0.5]], ops);\r\n  return [f1, f2, f3, f4]\r\n}\r\n////////////////////////////////////////////////////////////////////////////////\r\nexport function createAxes(board)\r\n{\r\n  let xAxis =board.create('axis', [[-1, 0],[1, 0]], {\r\n    strokeColor:'grey',\r\n    highlight:false,\r\n    strokeWidth: ()=>Math.round(2*board.canvasWidth/800.),\r\n    withLabel:true,\r\n    name: '',\r\n      label: {\r\n        display:'internal',\r\n        fontSize:function(){return 24*board.canvasHeight/800},\r\n        CssStyle: 'fontFamily:Oswald;fontWeight:bold',\r\n        position: 'rt',\r\n        offset: [-20, 20]}});\r\n  let yAxis =board.create('axis', [[0, -1],[0, 1]], {\r\n    strokeColor:'grey',\r\n    highlight:false,\r\n    strokeWidth: ()=>Math.round(2*board.canvasWidth/800.),\r\n    withLabel:true,\r\n    name: '',\r\n      label: {\r\n        display:'internal',\r\n        fontSize:function(){return 24*board.canvasHeight/800},\r\n        CssStyle: 'fontFamily:Oswald;fontWeight:bold',\r\n        position: 'rt',\r\n        offset: [20, -20]}\r\n  });\r\n  return [xAxis, yAxis];\r\n}\r\n//////////////////////////////////\r\nexport function drawPerp(board, Ln, Pt){\r\n  const lm ={\r\n  fixed:true,\r\n  strokeColor:'black',\r\n  highlight:false,\r\n  perpendicularpoint:{visible:false},\r\n  strokeWidth: () => Math.round(2*board.canvasWidth /800.)};\r\n  let le=board.create('perpendicular', [Ln, [()=>Pt.X(), ()=>Pt.Y()]], lm);\r\n  return le;\r\n}\r\n///////////////////////////////////////////////////////////////////\r\nexport function drawPerpP(board, Ln, Pt){\r\n  const ptA = {\r\n    name:'',\r\n    size: ()=>Math.round(2*board.canvasWidth/800.),\r\n    fillColor:'white',\r\n    strokeColor:'white',\r\n    visible:false,\r\n    highlight:false};\r\n  let le=board.create('perpendicularpoint', [Ln, [()=>Pt.X(), ()=>Pt.Y()]], ptA);\r\n  return le;\r\n}\r\n///////////////////////////////////////////////////////////\r\nexport function drawIntersection(board, Ln1, Ln2)\r\n{\r\n  const ptA = {\r\n    name:'',\r\n    size: ()=>Math.round(2*board.canvasWidth/800.),\r\n    color:'black',\r\n    strokeWidth:()=>Math.ceil(4*board.canvasWidth/800.),\r\n    highlight:false\r\n  };\r\n  let pts = board.create('intersection', [Ln1, Ln2], ptA);\r\n  return pts;\r\n}\r\n///////////////////////////////////////////////////////////////\r\nexport function drawSlider(board, track, positionX, positionY){\r\n     const ptA = {\r\n       name:'',\r\n       size: ()=>Math.round(2*board.canvasWidth/800.),\r\n       color:'black',\r\n       strokeWidth:()=>Math.ceil(4*board.canvasWidth/800.),\r\n       highlight:false};\r\n     let ptM =board.create('glider', [positionX, positionY, track], ptA);\r\n     return ptM;\r\n   }\r\n//////////////////////////////////////////////\r\nexport function drawMarker(board, track, positionX, positionY){\r\n     const ptA = {\r\n       name:'',\r\n\t   label: {\r\n         display:'internal'\r\n       },\r\n       size: ()=>Math.round(2*board.canvasWidth/800.),\r\n       color:'black',\r\n       highlight:false};\r\n     let ptM =board.create('glider', [positionX, positionY, track], ptA);\r\n     return ptM;\r\n   }\r\n/////////////////////////////////////////////////\r\nexport function placeLogo(board)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/10;\r\n  let im =board.create('image', ['https://s3.amazonaws.com/edliy.com/assets/logo.png', [boundingBox[2]-size, boundingBox[1]-size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n//////////////////////////////////////////////\r\nexport function placePlay(board, loc)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/13;\r\n  const x = function(){if(loc=='left')\r\n  {return  0.5*(boundingBox[2]+boundingBox[0])-1.4*size\r\n  }\r\n  else{\r\n    return 0.5*(boundingBox[2]+boundingBox[0])+0.4*size\r\n      }\r\n  }\r\n  let im =board.create('image', ['https://s3.amazonaws.com/edliy.com/assets/play.svg', [x, boundingBox[3]+0.50*size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n//////////////////////////////////////////////////////////////////////\r\nexport function placePause(board, loc)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/13;\r\n  const x = function(){if(loc=='left')\r\n  {return  0.5*(boundingBox[2]+boundingBox[0])-1.4*size\r\n  }\r\n  else{\r\n    return 0.5*(boundingBox[2]+boundingBox[0])+0.4*size\r\n      }\r\n  }\r\n  let im =board.create('image', ['https://s3.amazonaws.com/edliy.com/assets/pause.svg', [x, boundingBox[3]+0.50*size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n//////////////////////////////////////////////////\r\nexport function placeShuffle(board, loc)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/13;\r\n  const x = function(){if(loc=='left')\r\n  {return  0.5*(boundingBox[2]+boundingBox[0])-1.4*size\r\n  }\r\n  else{\r\n    return 0.5*(boundingBox[2]+boundingBox[0])+0.4*size\r\n      }\r\n  }\r\n  let im =board.create('image', ['https://s3.amazonaws.com/edliy.com/assets/shuffle.svg', [x, boundingBox[3]+0.50*size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n/****************************************Hint****************************/\r\nexport function placeHint(board, loc)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/12;\r\n  const x = function(){if(loc=='left')\r\n  {return  0.5*(boundingBox[2]+boundingBox[0])-1.4*size\r\n  }\r\n  else{\r\n    return 0.5*(boundingBox[2]+boundingBox[0])+0.4*size\r\n      }\r\n  }\r\n  let im =board.create('image', ['/assets/Hint.svg', [x, boundingBox[3]+0.50*size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n///////////////////////////////////////////////////////////////////////////\r\nexport function placeShuffleRight(board)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/13;\r\n  let im =board.create('image', ['https://s3.amazonaws.com/edliy.com/assets/shuffle.svg', [0.5*(boundingBox[2]+boundingBox[0])+0.4*size, boundingBox[3]+0.50*size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n//////////////////////////////////////////////////////////////////////////////////////////////\r\nexport function placeTest(board)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/13;\r\n  let im =board.create('image', ['https://s3.amazonaws.com/edliy.com/assets/inquiry.svg', [0.5*(boundingBox[2]+boundingBox[0])+0.4*size, boundingBox[3]+0.50*size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n////////////////////////////////////////////////////////////////////////////\r\nexport function placeRight(board)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/13;\r\n  let im =board.create('image', ['https://s3.amazonaws.com/edliy.com/assets/redo.svg', [0.5*(boundingBox[2]+boundingBox[0])+0.4*size, boundingBox[3]+0.50*size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n///////////////////////////////////////////////////////////\r\nexport function placeLeft(board)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/13;\r\n  let im =board.create('image', ['https://s3.amazonaws.com/edliy.com/assets/undo.svg', [0.5*(boundingBox[2]+boundingBox[0])-1.4*size, boundingBox[3]+0.50*size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n///////////////////////////////////////////\r\nexport function placeUndo(board, loc)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/13;\r\n  const x = function(){if(loc=='left')\r\n  {return  0.5*(boundingBox[2]+boundingBox[0])-1.4*size\r\n  }\r\n  else{\r\n    return 0.5*(boundingBox[2]+boundingBox[0])+0.4*size\r\n      }\r\n  }\r\n  let im =board.create('image', ['https://s3.amazonaws.com/edliy.com/assets/previous.svg', [x, boundingBox[3]+0.50*size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n/////////////////////////////////////////////\r\nexport function placeRedo(board, loc)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/13;\r\n  const x = function(){if(loc=='left')\r\n  {return  0.5*(boundingBox[2]+boundingBox[0])-1.4*size\r\n  }\r\n  else{\r\n    return 0.5*(boundingBox[2]+boundingBox[0])+0.4*size\r\n      }\r\n  }\r\n  let im =board.create('image', ['https://s3.amazonaws.com/edliy.com/assets/next.svg', [x, boundingBox[3]+0.50*size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n//////////////////////////////////////////////////////////////////\r\nexport function placeDynamic(board, loc)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/13;\r\n  const x = function(){if(loc=='left')\r\n  {return  0.5*(boundingBox[2]+boundingBox[0])-1.4*size\r\n  }\r\n  else{\r\n    return 0.5*(boundingBox[2]+boundingBox[0])+0.4*size\r\n      }\r\n  }\r\n  let im =board.create('image', ['assets/dynamic.svg', [x, boundingBox[3]+0.50*size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n///////////////////////////////////////////\r\nexport function placeStatic(board, loc)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/13;\r\n  const x = function(){if(loc=='left')\r\n  {return  0.5*(boundingBox[2]+boundingBox[0])-1.4*size\r\n  }\r\n  else{\r\n    return 0.5*(boundingBox[2]+boundingBox[0])+0.4*size\r\n      }\r\n  }\r\n  let im =board.create('image', ['/assets/static.svg', [x, boundingBox[3]+0.50*size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n///////////////////////////////////////////////////////////\r\nexport function placeErase(board)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/13;\r\n  let im =board.create('image', ['https://s3.amazonaws.com/edliy.com/assets/eraser.svg', [0.5*(boundingBox[2]+boundingBox[0])+0.4*size, boundingBox[3]+0.50*size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n////////////////////////////////////\r\nexport function placeEraseLeft(board)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/13;\r\n  let im =board.create('image', ['https://s3.amazonaws.com/edliy.com/assets/eraser.svg', [0.5*(boundingBox[2]+boundingBox[0])-1.4*size, boundingBox[3]+0.50*size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n//////////////////////////////////////////\r\nexport function placeStat(board)\r\n{\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true,\r\n   rotate:0,\r\n  };\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/13;\r\n  let im =board.create('image', ['https://s3.amazonaws.com/edliy.com/assets/statistics.svg', [0.5*(boundingBox[2]+boundingBox[0])+0.4*size, boundingBox[3]+0.50*size],[size,size]], imageAttributes);\r\n  return im;\r\n}\r\n/////////////////////////////////////\r\nexport function makeResponsive(board) {\r\n    let resizeFunction = function() {\r\n        const bb = board.attr.boundingbox;\r\n        board.resizeContainer(board.containerObj.clientWidth,\r\n                              board.containerObj.clientHeight,\r\n                              true,\r\n                              true);\r\n        board.setBoundingBox(bb);\r\n        board.fullUpdate();\r\n    };\r\n    window.addEventListener(\"resize\", resizeFunction);\r\n}\r\n////////////////////////////////////////PLACE ANGLE/////////////////////////////\r\nexport function drawAngle(board, Pt1, Pt2, Pt3){\r\n  const lm = {\r\n    radius:0.5,\r\n    strokeWidth:1,\r\n    strokeColor:'black',\r\n    fillColor:'red',\r\n    highlight:false,\r\n    radiusPoint:{visible:false},\r\n    label:{color:'black', anchorX:'middle', anchorY:'middle', fontSize:function(){return 24*board.canvasHeight/800},\r\n    cssStyle:'fontFamily:Oswald;'}\r\n    }\r\n  let le=board.create('nonreflexangle', [Pt1, Pt2, Pt3], lm);\r\n  le.setAttribute({center:{visible:true}, radiusPoint:{visible:true}, anglePoint:{visible:true}});\r\n  return le;\r\n}\r\n//////////////////////////////\r\nexport function print(board, value)\r\n{\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/12;\r\n  const positionX = -(boundingBox[2]-boundingBox[0])/2+0.5;\r\n  const positionY = (boundingBox[2]-boundingBox[0])/2-0.5;\r\n  const m ={\r\n  anchorX: 'left',\r\n  display: 'html',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  CssStyle: 'fontFamily:Oswald;',\r\n  highlight:false,\r\n  fontSize: () => Math.round(18*board.canvasWidth /800.)\r\n};\r\nprintArray.push(value);\r\nlet i = printArray.length-1;\r\nboard.create('text', [positionX, positionY-i, printArray[i]], m);\r\n}\r\n///////////////////////////////////////////LINE////////////////////////////////\r\nexport function drawSegment(board, Pt1, Pt2){\r\n  const lm ={\r\n  fixed:true,\r\n  strokeColor:'black',\r\n  highlight:false,\r\n  strokeWidth: () => Math.round(2*board.canvasWidth /800.)};\r\n  let le=board.create('segment', [[()=>Pt1.X(), ()=>Pt1.Y()],[()=>Pt2.X(), ()=>Pt2.Y()]] , lm);\r\n  return le;\r\n}\r\n/////////////////////////////////////////////////////////////////////////////\r\nexport function drawLine(board, Pt1, Pt2){\r\n  const lm ={\r\n  fixed:true,\r\n  strokeColor:'black',\r\n  highlight:false,\r\n  strokeWidth: () => Math.round(2*board.canvasWidth /800.)};\r\n  let le=board.create('line', [[()=>Pt1.X(), ()=>Pt1.Y()],[()=>Pt2.X(), ()=>Pt2.Y()]] , lm);\r\n  return le;\r\n}\r\n/////////////////////////////////////////////////////////////////////\r\nexport function drawPoint(board, positionX, positionY){\r\n     board.options.point.showInfoBox=false;\r\n     const ptA = {\r\n       name:'',\r\n       label: {\r\n         display:'internal'\r\n       },\r\n       size: ()=>Math.round(2*board.canvasWidth/800.),\r\n       fillColor:'red',\r\n       visible:true,\r\n       strokeColor:'red',\r\n       highlight:false};\r\n     let ptM =board.create('point', [positionX, positionY], ptA);\r\n     return ptM;\r\n   }\r\n///////////////////////////////////////////////////////\r\nexport function drawCircle(board, Pt1, Pt2){\r\n  const lm ={\r\n  fixed:true,\r\n  strokeColor:'red',\r\n  fillColor:'white',\r\n  fillOpacity:0,\r\n  highlight:false,\r\n  strokeWidth: () => Math.round(4*board.canvasWidth /800.)};\r\n  let le=board.create('circle', [[()=>Pt1.X(), ()=>Pt1.Y()],[()=>Pt2.X(), ()=>Pt2.Y()]], lm);\r\n  return le;\r\n}\r\n////////////////////////////////\r\nexport function plotFunction(board, fx, xmin, xmax)\r\n{\r\n  const lm ={\r\n  fixed:true,\r\n  strokeColor:'red',\r\n  highlight:false,\r\n  strokeWidth: () => Math.round(4*board.canvasWidth /800.)};\r\n  let pt = board.create('functiongraph',\r\n                         [fx, xmin, xmax],lm);\r\n  return pt;\r\n}\r\n//////////////////////////////////////////////////////\r\nexport function writeSmallText(board, positionX, positionY, message){\r\n  const m ={\r\n  anchorX: 'middle',\r\n  display: 'internal',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  CssStyle: 'fontFamily:Oswald;',\r\n  highlight:false,\r\n  fontSize: () => Math.round(18*board.canvasWidth /800.)};\r\n  let ele =board.create('text', [positionX, positionY, message], m)\r\n  return ele;\r\n}\r\n///////////////////////////////////////\r\nexport function writeMediumText(board, positionX, positionY, message){\r\n  const m ={\r\n  anchorX: 'middle',\r\n  display: 'internal',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  CssStyle: 'fontFamily:Oswald;',\r\n  highlight:false,\r\n  fontSize: () => Math.round(24*board.canvasWidth /800.)};\r\n  let ele =board.create('text', [positionX, positionY, message], m)\r\n  return ele;\r\n}\r\n/////////////////////////////////////////////////\r\nexport function writeLargeText(board, positionX, positionY, message){\r\n  const m ={\r\n  anchorX: 'middle',\r\n  display: 'internal',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  CssStyle: 'fontFamily:Oswald;',\r\n  highlight:false,\r\n  fontSize: () => Math.round(30*board.canvasWidth /800.)};\r\n  let ele =board.create('text', [positionX, positionY, message], m)\r\n  return ele;\r\n}\r\n///////////////////////////////////////////////////\r\nexport function setColor(board, obj, cols){\r\n  obj.setAttribute({\r\n  strokeColor:cols,\r\n  fillColor:cols});\r\n}\r\nexport function setWidth(board, obj, width){\r\n  obj.setAttribute({\r\n  strokeWidth: () => Math.round(width*board.canvasWidth /800.)});\r\n}\r\nexport function setSize(board, obj, size){\r\n  obj.setAttribute({\r\n  size: () => Math.round(size*board.canvasWidth /800.)});\r\n}\r\nexport function labelIt(board, obj, namee){\r\n  obj.setAttribute({name:namee});\r\n  obj.label.setAttribute({\r\n      color:'black',\r\n      offset:[0,20],\r\n      cssStyle:'fontFamily:Oswald',\r\n      fontSize:()=>Math.round(20*board.canvasWidth/800.)\r\n      })\r\n}\r\nexport function showInfo(board, obj){\r\n  board.options.point.showInfoBox=true\r\n}\r\nexport function setFix(board, obj){\r\n  obj.setAttribute({\r\n  fixed:true})\r\n}\r\n//////////////////////////////////////////////////////\r\nexport function drawDash(board, Pt1, Pt2){\r\n  const lm ={\r\n  fixed:true,\r\n  dash:1,\r\n  strokeColor:'red',\r\n  highlight:false,\r\n  strokeWidth: () => Math.round(2*board.canvasWidth /800.)};\r\n  let le=board.create('segment', [[()=>Pt1.X(), ()=>Pt1.Y()],[()=>Pt2.X(), ()=>Pt2.Y()]] , lm);\r\n  return le;\r\n}\r\n/////////////////////////// Arc /////////////////////////////\r\nexport function drawArc(board, Pt1, Pt2, Pt3){\r\n  const lm ={\r\n  fixed:true,\r\n  dash:1,\r\n  strokeColor:'red',\r\n  fillOpacity:1,\r\n  highlight:false,\r\n  strokeWidth: () => Math.round(2*board.canvasWidth /800.)};\r\n  let le=board.create('arc', [[()=>Pt1.X(), ()=>Pt1.Y()],[()=>Pt2.X(), ()=>Pt2.Y()],[()=>Pt3.X(), ()=>Pt3.Y()]], lm);\r\n  le.setAttribute({center:{visible:false}, radiusPoint:{visible:false}, anglePoint:{visible:false}});\r\n  return le;\r\n}\r\n////////////////////////////////Arrow//////////////////////////////\r\nexport function drawArrow(board, pt1, pt2){\r\n     const recAttributes = {\r\n       strokeWidth: () => Math.round(2*board.canvasWidth/800.),\r\n       strokeColor:'red',\r\n       highlight:false,\r\n       fillOpacity:1.0}\r\n     let m =board.create('arrow', [[()=>pt1.X(), ()=>pt1.Y()],\r\n                                    [()=>pt2.X(), ()=>pt2.Y()]], recAttributes);\r\n     return m;\r\n   }\r\n//////////////////////////////////////TEXT/////////////////////////////\r\nexport function placeText(board, positionX, positionY, size, message){\r\n  const m ={\r\n  anchorX: 'middle',\r\n  display: 'internal',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  CssStyle: 'fontFamily:Oswald;',\r\n  highlight:false,\r\n  fontSize: () => Math.round(size*board.canvasWidth /800.)};\r\n  let ele =board.create('text', [positionX, positionY, message], m)\r\n  return ele;\r\n}\r\n////////////////////////////////////////////////////////\r\nexport function writeHTMLText(board, positionX, positionY, message){\r\n  const m ={\r\n  anchorX: 'middle',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  CssStyle: 'fontFamily:Oswald;',\r\n  highlight:false,\r\n  fontSize: () => Math.round(24*board.canvasWidth /800.)};\r\n  let ele =board.create('text', [positionX, positionY, message], m)\r\n  return ele;\r\n}\r\nexport function placeMiddleText(board, positionX, positionY, message){\r\n  const m ={\r\n  anchorX: 'middle',\r\n  display: 'internal',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  CssStyle: 'fontFamily:Oswald;',\r\n  highlight:false,\r\n  fontSize: () => Math.round(24*board.canvasWidth /800.)};\r\n  let ele =board.create('text', [positionX, positionY, message], m)\r\n  return ele;\r\n}\r\nexport function placeLeftText(board, positionX, positionY, message){\r\n  const m ={\r\n  anchorX: 'left',\r\n  display: 'internal',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  CssStyle: 'fontFamily:Oswald;',\r\n  highlight:false,\r\n  fontSize: () => Math.round(24*board.canvasWidth /800.)};\r\n  let ele =board.create('text', [positionX, positionY, message], m)\r\n  return ele;\r\n}\r\nexport function placeRightText(board, positionX, positionY, message){\r\n  const m ={\r\n  anchorX: 'right',\r\n  display: 'internal',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  CssStyle: 'fontFamily:Oswald;',\r\n  highlight:false,\r\n  fontSize: () => Math.round(24*board.canvasWidth /800.)};\r\n  let ele =board.create('text', [positionX, positionY, message], m)\r\n  return ele;\r\n}\r\nexport function placeBoldText(board, positionX, positionY, message){\r\n  const m ={\r\n  anchorX: 'middle',\r\n  display: 'internal',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  CssStyle: 'fontFamily:Oswald;fontWeight:bold',\r\n  highlight:false,\r\n  fontSize: () => Math.round(24*board.canvasWidth /800.)};\r\n  let ele =board.create('text', [positionX, positionY, message], m)\r\n  return ele;\r\n}\r\nexport function placeBoldRightText(board, positionX, positionY, message){\r\n  const m ={\r\n  anchorX: 'right',\r\n  display: 'internal',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  CssStyle: 'fontFamily:Oswald;fontWeight:bold',\r\n  highlight:false,\r\n  fontSize: () => Math.round(24*board.canvasWidth /800.)};\r\n  let ele =board.create('text', [positionX, positionY, message], m)\r\n  return ele;\r\n}\r\nexport function placeBoldLeftText(board, positionX, positionY, message){\r\n  const m ={\r\n  anchorX: 'left',\r\n  display: 'internal',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  CssStyle: 'fontFamily:Oswald;fontWeight:bold',\r\n  highlight:false,\r\n  fontSize: () => Math.round(24*board.canvasWidth /800.)};\r\n  let ele =board.create('text', [positionX, positionY, message], m)\r\n  return ele;\r\n}\r\n/////////////////////////// Draggable Point/////////////////////////////////////\r\nexport function dragMe(board, positionX, positionY){\r\n   const pointAttributes ={\r\n    name:'Drag me',\r\n    size:3,\r\n    strokeColor:'black',\r\n    fillColor:'white',\r\n    fixed:false,\r\n    label:{color:'blue',\r\n           offset:[0,20],\r\n           cssStyle:'fontFamily:Oswald',\r\n           fontSize:()=>Math.round(16*board.canvasWidth/800.)\r\n          }\r\n   };\r\n   let pt = board.create('point',[positionX, positionY], pointAttributes);\r\n   return [pt];\r\n   }\r\n//////////////////////////HiddenPoint////////////////////////////////////////\r\nexport function hiddenPt(board, positionX, positionY){\r\n   const pointAttributes ={\r\n    name:'Drag me',\r\n    size:3,\r\n    strokeColor:'black',\r\n    fillColor:'white',\r\n    fixed:false,\r\n    visible:false,\r\n    label:{color:'blue',\r\n           offset:[0,20],\r\n           cssStyle:'fontFamily:Oswald',\r\n           fontSize:()=>Math.round(16*board.canvasWidth/800.)\r\n          }\r\n   };\r\n   let pt = board.create('point',[positionX, positionY], pointAttributes);\r\n   return pt;\r\n   }\r\n///////////////////////////FixedPoint/////////////////////////////////////////\r\nexport function fixedPt(board, positionX, positionY, size, name, cols1, cols2){\r\n   const pointAttributes ={\r\n    name:name,\r\n    size: ()=>Math.round(size*board.canvasWidth/800.),\r\n    strokeWidth:()=>Math.ceil(2*board.canvasWidth/800.),\r\n    fillColor:cols1,\r\n    strokeColor:cols2,\r\n    highlight:false,\r\n    fixed:true,\r\n    label:{color:'blue',\r\n           offset:[0,20],\r\n           cssStyle:'fontFamily:Oswald',\r\n           fontSize:()=>Math.round(16*board.canvasWidth/800.)\r\n          }\r\n   };\r\n   let pt = board.create('point',[positionX, positionY], pointAttributes);\r\n   return pt;\r\n   }\r\n/////////////////////////////////////////////////////////////////////////////\r\n//////////////////////////////Gravity ////////////////////////////////////////\r\nexport function placeGlider(board, line, positionX, positionY, size, cols1, cols2){\r\n     const ptA = {\r\n       name:'',\r\n       size: ()=>Math.round(size*board.canvasWidth/800.),\r\n       strokeWidth:()=>Math.ceil(2*board.canvasWidth/800.),\r\n       fillColor:cols1,\r\n       strokeColor:cols2,\r\n       highlight:false};\r\n     let ptM =board.create('glider', [positionX, positionY, line], ptA);\r\n     return ptM;\r\n   }\r\n//////////////////////////////////////////////////////////////////////////////////\r\nexport function placeGravity(board, pt1, pt2, val)\r\n {\r\n     const arrowAttributes = {\r\n       fixed:true,\r\n       highlight:false,\r\n       strokeWidth: () => Math.round(3*board.canvasWidth/800.),\r\n       strokeColor:'black',\r\n       fillOpacity:1.0\r\n     };\r\n     const gAttributes={\r\n       fixed:true,\r\n       highlight:false,\r\n       anchorX: 'left',\r\n       anchorY:'middle',\r\n       color:'black',\r\n       CssStyle: 'font-weight:bold; fontFamily:Oswald;',\r\n       fontSize: () => Math.round(24*board.canvasWidth/800.)\r\n     };\r\n     let gtext =board.create('text', [0.5*(pt1[0]+pt2[0])+Math.abs(pt1[1]-pt2[1])*0.25, 0.5*(pt1[1]+pt2[1])+Math.abs(pt1[0]-pt2[0])*0.25, val], gAttributes);\r\n     let garrow=board.create('arrow', [\r\n                                     [pt1[0], pt1[1]],\r\n                                     [pt2[0], pt2[1]]\r\n                                     ], arrowAttributes);\r\n\r\n     return [garrow, gtext];\r\n   }\r\n///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////\r\nexport function placeRuler(board, pt1, pt2, val)\r\n   {\r\n       const arrowAttributes = {\r\n         fixed:true,\r\n         highlight:false,\r\n         strokeWidth: () => Math.round(3*board.canvasWidth/800.),\r\n         strokeColor:'black',\r\n         fillOpacity:1.0\r\n       };\r\n       const gAttributes={\r\n         fixed:true,\r\n         highlight:false,\r\n         anchorX: 'middle',\r\n         anchorY:'middle',\r\n         color:'black',\r\n         display:'internal',\r\n         CssStyle: 'font-weight: bold;fontFamily:Oswald;',\r\n         fontSize: ()=>Math.round(28*board.canvasWidth/800.)\r\n       };\r\n       let garrow=board.create('arrow', [[pt1[0], pt1[1]],[pt2[0], pt2[1]]], arrowAttributes);\r\n       let gtext =board.create('text',[0.5*(1.00*pt1[0]+1.00*pt2[0])+Math.abs(1.00*pt1[1]-1.00*pt2[1])*0.25, 0.5*(1.00*pt1[1]+1.00*pt2[1])+Math.abs(1.00*pt1[0]-1.00*pt2[0])*0.25, val], gAttributes);\r\n       return [garrow, gtext];\r\n    }\r\n///////////////////////////////////////////////////////////////////////////////\r\nexport function placeTape(board, pt1, pt2, val)\r\n   {\r\n       const arrowAttributes = {\r\n         name:val,\r\n         fixed:true,\r\n         point1:{face:'circle', size:2, fillColor:'red'},\r\n         point2:{face:'circle', size:2, fillColor:'red'},\r\n         highlight:false,\r\n         strokeWidth: () => Math.round(3*board.canvasWidth/800.),\r\n         strokeColor:'black',\r\n         fillOpacity:1.0,\r\n         label:{fixed:true,\r\n         highlight:false,\r\n         anchorX: 'left',\r\n         anchorY:'middle',\r\n         color:'black',\r\n         display:'internal',\r\n         CssStyle: 'font-weight:normal; fontFamily: Oswald;',\r\n         fontSize: () => Math.round(28*board.canvasWidth /800.)}\r\n       };\r\n       const gAttributes={\r\n         fixed:true,\r\n         highlight:false,\r\n         anchorX: 'middle',\r\n         anchorY:'middle',\r\n         color:'black',\r\n         display:'internal',\r\n         CssStyle: 'font-weight: bold; fontFamily: Oswald;',\r\n         fontSize: () => Math.round(28*board.canvasWidth /800.)\r\n       };\r\n       let garrow=board.create('tapemeasure', [[pt1[0], pt1[1]],[pt2[0], pt2[1]]], arrowAttributes);\r\n       //let gtext =board.create('text',[0.5*(1.00*pt1[0]+1.00*pt2[0])+Math.abs(1.00*pt1[1]-1.00*pt2[1])*0.25, 0.5*(1.00*pt1[1]+1.00*pt2[1])+Math.abs(1.00*pt1[0]-1.00*pt2[0])*0.25, val], gAttributes);\r\n       return garrow;\r\n    }\r\n/////////////////////////////////////////////////////////////////////////////////////////////\r\nexport function placeTapeHori(board, pt1, pt2, val)\r\n   {\r\n       const arrowAttributes = {\r\n         name:val,\r\n         fixed:true,\r\n         point1:{face:'circle', size:2, fillColor:'red'},\r\n         point2:{face:'circle', size:2, fillColor:'red'},\r\n         highlight:false,\r\n         strokeWidth: () => Math.round(3*board.canvasWidth/800.),\r\n         strokeColor:'black',\r\n         fillOpacity:1.0,\r\n         label:{fixed:true,\r\n         highlight:false,\r\n         anchorX: 'middle',\r\n         anchorY:'middle',\r\n         color:'black',\r\n         display:'internal',\r\n         CssStyle: 'font-weight:normal; fontFamily: Oswald;',\r\n         fontSize: () => Math.round(20*board.canvasWidth /800.)}\r\n       };\r\n       let garrow=board.create('tapemeasure', [[pt1[0], pt1[1]],[pt2[0], pt2[1]]], arrowAttributes);\r\n       //let gtext =board.create('text',[0.5*(1.00*pt1[0]+1.00*pt2[0])+Math.abs(1.00*pt1[1]-1.00*pt2[1])*0.25, 0.5*(1.00*pt1[1]+1.00*pt2[1])+Math.abs(1.00*pt1[0]-1.00*pt2[0])*0.25, val], gAttributes);\r\n       return garrow;\r\n    }\r\n/////////////////////////////////////////////////////////\r\nexport function placeTapeVert(board, pt1, pt2, val)\r\n   {\r\n       const arrowAttributes = {\r\n         name:val,\r\n         fixed:true,\r\n         point1:{face:'circle', size:2, fillColor:'red'},\r\n         point2:{face:'circle', size:2, fillColor:'red'},\r\n         highlight:false,\r\n         strokeWidth: () => Math.round(3*board.canvasWidth/800.),\r\n         strokeColor:'black',\r\n         fillOpacity:1.0,\r\n         label:{fixed:true,\r\n         highlight:false,\r\n         anchorX: 'middle',\r\n         anchorY:'middle',\r\n         color:'black',\r\n         display:'internal',\r\n         CssStyle: 'font-weight:normal; fontFamily: Oswald;',\r\n         fontSize: () => Math.round(20*board.canvasWidth /800.)}\r\n       };\r\n       let garrow=board.create('tapemeasure', [[pt1[0], pt1[1]],[pt2[0], pt2[1]]], arrowAttributes);\r\n       //let gtext =board.create('text',[0.5*(1.00*pt1[0]+1.00*pt2[0])+Math.abs(1.00*pt1[1]-1.00*pt2[1])*0.25, 0.5*(1.00*pt1[1]+1.00*pt2[1])+Math.abs(1.00*pt1[0]-1.00*pt2[0])*0.25, val], gAttributes);\r\n       return garrow;\r\n    }\r\n///////////////////////////////////////Polygon////////////////////////////////////////\r\nexport function placeRec(board, pt1, pt2, pt3, pt4, cols){\r\n  const recAttributes = {\r\n    vertices:{visible:false, fixed:true},\r\n    borders:{visible:false},\r\n    highlight:false,\r\n    fillColor:cols,\r\n    fillOpacity:1.0}\r\n  let m =board.create('polygon', [[pt1[0], pt1[1]],\r\n                                 [pt2[0], pt2[1]],\r\n                                 [pt3[0], pt3[1]],\r\n                                 [pt4[0], pt4[1]]], recAttributes);\r\n  return m;\r\n}\r\n/////////////////////////////////////////////////////////////////\r\nexport function placeSq(board, pt1, pt2, cols){\r\n  const recAttributes = {\r\n    vertices:{visible:false, fixed:true},\r\n    borders:{visible:false},\r\n    highlight:false,\r\n    fillColor:cols,\r\n    fillOpacity:1.0}\r\n  let m =board.create('polygon', [[pt1[0], pt1[1]],\r\n                                 [pt2[0], pt1[1]],\r\n                                 [pt2[0], pt2[1]],\r\n                                 [pt1[0], pt2[1]]], recAttributes);\r\n  return m;\r\n}\r\n/////////////////////////////////////////////////////////////////\r\nexport function drawTriangle(board, pt1, pt2, pt3){\r\n  const recAttributes = {\r\n    vertices:{visible:false, fixed:true},\r\n    borders:{visible:false},\r\n    highlight:false,\r\n    fillColor:'blue',\r\n    fillOpacity:0.5}\r\n  let m =board.create('polygon', [[()=>pt1.X(), ()=>pt1.Y()], [()=>pt2.X(), ()=>pt2.Y()],\r\n  [()=>pt3.X(), ()=>pt3.Y()]], recAttributes);\r\n  return m;\r\n}\r\n//////////////////////////////////////////////Circle/////////////////////////////////////\r\nexport function placeSlider(board, positionX, positionY, limit1, start, limit2, length, name)\r\n{\r\n  const sliderAttributes={\r\n    baseline:{strokeWidth:7*board.canvasHeight/800, strokeColor:'grey', highlight:false},\r\n    highline:{strokeWidth:7*board.canvasHeight/800, strokeColor:'black', highlight:false},\r\n    name:name,\r\n    highlight:false,\r\n    size:()=>8*board.canvasHeight/800,\r\n    face:'square',\r\n    fillColor:'grey',\r\n    strokeColor:'black',\r\n    withTicks:false,\r\n    precision:2,\r\n    label:{fontSize:()=> Math.round(18*board.canvasWidth/800.), offset:[15,0],\r\n    cssStyle:'fontFamily:Oswald;', highlight:false}\r\n  }\r\n   let m = board.create('slider',[[positionX, positionY],[positionX+length, positionY],[limit1, start, limit2]], sliderAttributes);    //\r\n   return m;\r\n}\r\n//////////////////////////////////////////////////////////////////////\r\nexport function placeSliderSwitch(board, positionX, positionY, limit1, limit2, length, name)\r\n{\r\n  const sliderAttributes={\r\n    baseline:{strokeWidth:7*board.canvasHeight/800,strokeColor:'grey'},\r\n    highline:{strokeWidth:7*board.canvasHeight/800,strokeColor:'black'},\r\n    name:name,\r\n    size:()=>8*board.canvasHeight/800,\r\n    highlight:false,\r\n    face:'square',\r\n    fillColor:'#FF0000',\r\n    strokeColor:'black',\r\n    snapWidth:1,\r\n    withTicks:false,\r\n    label:{anchorX:'left',fontSize:()=> Math.round(24*board.canvasWidth/800.),\r\n    cssStyle:'fontFamily:Oswald;'}\r\n  }\r\n   let m = board.create('slider',[[positionX, positionY],[positionX+length, positionY],[limit1, 0.5*(limit1+limit2), limit2]], sliderAttributes);    //\r\n   return m;\r\n}\r\n/////////////////////////////////////////////////////////////////\r\nexport function placeImage(board, imValue, positionX, positionY){\r\n  const imageAttributes ={\r\n   opacity:1,\r\n   fixed:true\r\n  };\r\n   let im =board.create('image', [imValue, [positionX, positionY],[1,1]], imageAttributes);\r\n   return im;\r\n}\r\n//////////////////////////////////////////////////////////\r\nexport function placeInput(board, positionX, positionY, val){\r\n  const inputAttributes ={\r\n    fixed: true,\r\n    cssStyle: 'fontFamily:Oswald; width:10%; background-color:#008CBA;border:1px solid black;border-radius:3.5px;',\r\n    fontSize:function(){return Math.round(24*board.canvasWidth/800.)},\r\n    fixed:true,\r\n    alignY:'bottom',\r\n    parse:true\r\n  }\r\n   let inp =board.create('input', [positionX, positionY, val, ''], inputAttributes);\r\n   return inp;\r\n}\r\n///////////////////////////////Shuffle Function ////////////////////////////\r\nexport function shuffle(listName, varName){\r\n  if(varName<listName.length-1)\r\n  {\r\n    return varName +=1;\r\n  }\r\n  else{\r\n    return varName=0;\r\n  }\r\n}\r\n///////////////////////////////////////////////////////////////////////////////\r\nexport function toggle(i){\r\n  if(i==0)\r\n  {\r\n    return 1;\r\n  }\r\n  else{\r\n    return 0;\r\n  }\r\n}\r\n/////////////////////////////////////////////////////////////////////////\r\nexport function toggleTF(i){\r\n  if(i==true)\r\n  {\r\n    return false;\r\n  }\r\n  else{\r\n    return true;\r\n  }\r\n}\r\n/////////////////////////////////////////Hover Over //////////////////////////////\r\nexport function hoverMe(board, element, message, Xoffset, Yoffset)\r\n{\r\n  element.setLabel(message);\r\n  element.label.setAttribute({visible:false, anchorX:'left', anchorY:'top',\r\n                              offset:[Xoffset, Yoffset],\r\n                              CssStyle:'fontFamily:Oswald;color:black',\r\n                              fontSize:function(){return Math.round(18*board.canvasWidth/800.)}});\r\n  element.on('over', function () {this.label.setAttribute({visible:true});});\r\n  element.on('out', function () {this.label.setAttribute({visible:false});});\r\n}\r\n//////////////////////////////////////////////////////////////////////////////////////////\r\nexport function placeLabel(board, element, message, Xoffset, Yoffset)\r\n{\r\n  element.setLabel(message);\r\n  element.label.setAttribute({\r\n                              offset:[Xoffset, Yoffset],\r\n                              anchorX:'left',\r\n                              anchorY:'middle',\r\n                              CssStyle:'fontFamily:Oswald;',\r\n                              fontSize:function(){return Math.round(18*board.canvasWidth/800.)}});\r\n}\r\n/////////////////////////////////////////////////////////////////////////\r\nexport function placeScore(board, titleText)\r\n{\r\n  const commonTextAttributes = {\r\n      anchorX: 'middle',\r\n      display: 'html',\r\n      highlight: false,\r\n      fixed: true,\r\n\t  visible:true\r\n  };\r\n  const titleTextAttributes = {\r\n      ...commonTextAttributes,\r\n      anchorY: 'middle',\r\n      CssStyle: 'font-weight: bold; fontFamily: Oswald;',\r\n      highlight:false,\r\n      fontSize: () => Math.round(32 * board.canvasWidth /800.)\r\n  };\r\n\r\n  const boundingBox = board.attr.boundingbox;\r\n\r\n  let title = board.create(\r\n      'text',\r\n      [(boundingBox[0] + boundingBox[2]) / 2.0,\r\n       (boundingBox[1] + boundingBox[3]) / 2.0,\r\n       function(){return titleText+'/5'}], titleTextAttributes);\r\n\r\n  return title;\r\n}\r\n///////////////////////////////////////////////////////////////////////\r\nexport function placeWhite(board){\r\n  const imageAttributes ={\r\n   opacity:0,\r\n   fixed:true,\r\n   visible:true\r\n  };\r\n    const boundingBox = board.attr.boundingbox;\r\n    const size = 20;\r\n    let im =board.create('image', ['/assets/square.svg', [(boundingBox[0] + boundingBox[2]-size) / 2.0,\r\n    (boundingBox[1] + boundingBox[3]-size) / 2.0,],[size, size]], imageAttributes);\r\n   return im;\r\n}\r\n//////////////////////////////////////////////////////////////////////////////\r\nexport function placeTitle(board, titleText, subTitleText){\r\n    const commonTextAttributes = {\r\n        anchorX: 'middle',\r\n        display: 'internal',\r\n        highlight: false,\r\n        fixed: true\r\n    };\r\n    const titleTextAttributes = {\r\n        ...commonTextAttributes,\r\n        anchorY: 'middle',\r\n        CssStyle: 'font-weight: bold; fontFamily: Oswald;',\r\n        highlight:false,\r\n        fontSize: () => Math.round(32 * board.canvasWidth /800.)\r\n    };\r\n    const subTitleTextAttributes = {\r\n        ...commonTextAttributes,\r\n        anchorY: 'middle',\r\n        CssStyle: 'fontFamily: Oswald;',\r\n        highlight:false,\r\n        fontSize: () => Math.round(24 * board.canvasWidth /800.)\r\n    };\r\n    const boundingBox = board.attr.boundingbox;\r\n    const offset = [0, -(boundingBox[2] - boundingBox[0])/20.0];\r\n    let title = board.create(\r\n        'text',\r\n        [(boundingBox[0] + boundingBox[2]) / 2.0 + offset[0],\r\n         boundingBox[1] + offset[1],\r\n         titleText],\r\n        titleTextAttributes\r\n    );\r\n    let subtitle = board.create(\r\n        'text',\r\n        [(boundingBox[0] + boundingBox[2]) / 2.0 + offset[0],\r\n         boundingBox[1] + 2*offset[1],\r\n         subTitleText],\r\n        subTitleTextAttributes\r\n    );\r\n    return [title, subtitle];\r\n}\r\n/////////////////////////////////////////////////////////////////////////////\r\nexport function clearInputFields(board) {\r\n    let magicGraph = board.containerObj;\r\n    let inputFields = magicGraph.querySelectorAll(\"input\");\r\n    for (let inputField of inputFields) {\r\n        inputField.value = \"\"\r\n    }\r\n}\r\n/////////////////////////////////////////////////////////////////////////////\r\nexport function setInputFieldAnswerColor(inputObject, isAnswerCorrect) {\r\n  // TODO: Tableau colors don't look great with blue background, find a\r\n  // different color scheme that looks better.\r\n  let colorizeElement = function (element, condition) {\r\n    if (element) {\r\n      if (condition) {\r\n        // element.style.borderColor = '#59A14F';\r\n        element.style.backgroundColor = 'green';\r\n      } else {\r\n        // element.style.borderColor = '#E15759';\r\n        element.style.backgroundColor = 'red';\r\n      }\r\n    }\r\n  }\r\n\r\n  colorizeElement(inputObject.rendNodeInput, isAnswerCorrect);\r\n  colorizeElement(inputObject.rendNode, isAnswerCorrect);\r\n}\r\n/////////////////////////////////////////////////////////////\r\nexport function markInteractive(inputObject) {\r\n  let board = inputObject.board;\r\n  if (!board._xedliy) {\r\n    board._xedliy = {};\r\n  }\r\n\r\n  if (!board._xedliy.interactive) {\r\n    let magicGraph = board.containerObj;\r\n    let svgs = magicGraph.querySelectorAll(\"svg\");\r\n    for (let svg of svgs) {\r\n      svg.style.pointerEvents = \"none\";\r\n    }\r\n    board._xedliy.interactive = true;\r\n  }\r\n\r\n  if (inputObject) {\r\n    // console.log(inputObject);\r\n    inputObject.rendNode.style.cursor = \"pointer\";\r\n    inputObject.rendNode.style.pointerEvents = \"all\";\r\n  }\r\n}\r\n///////////////////////////////////////////////////////////////\r\n","import{\r\n  makeResponsive,\r\n  placeTitle,\r\n  createSpace,\r\n  placeQuestion,\r\n  placeComment,\r\n  createAxes,\r\n  writeHTMLText,\r\n  drawPoint,\r\n  setSize,\r\n  labelIt,\r\n  placeMarker,\r\n  drawCircle,\r\n  placeImage,\r\n  placeShuffle,\r\n  placeTest,\r\n  drawArrow,\r\n  drawAngle,\r\n  drawSegment,\r\n  placeBWhite,\r\n  placeWhite,\r\n  placeBCircles,\r\n  placeCircles,\r\n  placeChecks,\r\n  placeCross,\r\n  placeExclaim,\r\n  hoverMe,\r\n  placeLogo,\r\n  drawMarker,\r\n  toggle,\r\n  toggleTF\r\n} from './Utils.js'\r\nconst Boxes = {\r\n  box1: function () {\r\n///////////////////////////////////GLOBAL SETTINGS//////////////////////\r\n\tJXG.Options.board.minimizeReflow = 'none';\r\n  JXG.Options.point.showInfoBox=false;\r\n  JXG.Options.point.highlight=false;\r\n  JXG.Options.image.highlight=false;\r\n  JXG.Options.text.highlight=false;\r\n  JXG.Options.text.fixed=true;\r\n  JXG.Options.curve.highlight=false;\r\n  JXG.Options.text.cssDefaultStyle='fontFamily:Oswald;'\r\n//////////////////////////////////LOCAL SETTINGS//////////////////////////////////\r\nvar graph =createSpace(-8,8,-7,9);\r\nmakeResponsive(graph);\r\ngraph.suspendUpdate();\r\ngraph.options.layer['image']=26;\r\ngraph.options.layer['text']=2;\r\ngraph.options.layer['html']=2;\r\ngraph.options.layer['line']=2;\r\ngraph.options.layer['point']=10;\r\ngraph.options.layer['circle']=1;\r\ngraph.options.image.highlight=false;\r\n/*********************GRAPH DIMENSIONS*******************/\r\nconst boundingBox = graph.attr.boundingbox;\r\nconst positionX = (boundingBox[2]+boundingBox[0])/2;\r\nconst positionY = (boundingBox[1]+boundingBox[3])/2;\r\n/****************PUT TITLE ****************************/\r\nvar question = placeQuestion(graph, 'dx/dt at the current location of P is &mdash;');\r\nvar comment = placeComment(graph, 'where &omega; = d&alpha;/dt');\r\n/**********************PUT AXES **********************/\r\nvar ax = createAxes(graph);\r\n/***************** PUT AXES TITLE *******************/\r\n//ax[0].setAttribute({name:'X'});\r\n//ax[1].setAttribute({name:'Y'});\r\n/***********************SCORING *******************/\r\nvar yourScore =0; var yourMissed =0; var yourWrong =0; var yourTotal=0;\r\nvar scoreCard = writeHTMLText(graph, positionX, positionY+1, function(){return 'Your Score ( &check; ): '+ yourScore+'/5'});\r\nvar missedCard = writeHTMLText(graph, positionX, positionY, function(){return 'Missed Questions ( ! ): '+ yourMissed+'/5'});\r\nvar wrongCard = writeHTMLText(graph, positionX, positionY-1, function(){return 'Wrong Answers ( x ): '+ yourWrong+'/5'});\r\nscoreCard.setAttribute({visible:false});\r\nmissedCard.setAttribute({visible:false});\r\nwrongCard.setAttribute({visible:false});\r\n/***************************************************/\r\nvar index_selected_answer = -1;\r\nconst PtmList = [-1/3, -1/6, 0, 1/6, 1/3];\r\nconst answers = [['&omega;&radic;3', '-2&omega;&radic;3', '+2&omega;', '+2&omega;&radic;3'], ['-2&omega;', '-&omega;', '+2&omega;', '+&omega;'], ['-2&omega;', '0', '+2&omega;', '+&omega;'],['-2&omega;', '-&omega;', '+2&omega;', '+&omega;'], ['&omega;&radic;3', '-2&omega;&radic;3', '+2&omega;', '+2&omega;&radic;3'],['&omega;&radic;3', '2&omega;', '-2&omega;', '-4&omega;'],['&omega;&radic;3', '2&omega;','-4&omega;','2&omega;&radic;3'], ['&omega;&radic;3', '2&omega;', '-2&omega;', '-4&omega;']];\r\nconst index_right_answer = [3,2,1,0,1];\r\n///////////////////////////////////////////////////////////////\r\nvar Pt1 = drawPoint(graph, 0.0, 0.0);\r\nPt1.setAttribute({fillColor:'white', strokeColor:'black'});\r\nsetSize(graph, Pt1, 4);\r\nlabelIt(graph, Pt1, '');\r\n//////////////////////////////////////////////////////////////////\r\nvar Pt2 = drawPoint(graph, 4.0, 0.0);\r\nsetSize(graph, Pt2, 0);\r\nPt2.setAttribute({fillColor:'white', strokeColor:'black'});\r\nlabelIt(graph, Pt2, '');\r\n///////////////////////////////////////////////////////////\r\nvar Ptm = drawPoint(graph, PtmList[0], 8);\r\nPtm.setAttribute({visible:false});\r\n//////////////////////////////////////////////////////\r\nvar circ =drawCircle(graph, Pt1, Pt2);\r\ncirc.setAttribute({fillOpacity:1})\r\n//////////////////////////////////////////////////////\r\nvar Pt4 = drawPoint(graph, 6.0*Math.cos(0.175),  -6.0*Math.sin(0.175));\r\nsetSize(graph, Pt4, 0);\r\nvar Pt6 = drawPoint(graph, 6.0*Math.cos(0.175),  6.0*Math.sin(0.175));\r\nsetSize(graph, Pt6, 0);\r\n//////////////////////////////////////\r\nplaceImage(graph, '/assets/arrowUp.svg', 3, 3);\r\nplaceImage(graph, '/assets/arrowDown.svg', -4, -4);\r\n////////////////////////////\r\nvar Pts = drawMarker(graph, circ, ()=>4.*Math.cos(Math.PI*Ptm.X()), ()=>4.*Math.sin(Math.PI*Ptm.X()));\r\nPts.setAttribute({fillColor:'white', strokeColor:'black'});\r\nsetSize(graph, Pts, 4);\r\nlabelIt(graph, Pts, 'P (x, y)');\r\n///////////////////////////////////////\r\ndrawArrow(graph, Pt1, Pts);\r\nvar alpha =drawAngle(graph, Pt2, Pt1, Pts);\r\nvar PtsX = drawPoint(graph, ()=>Pts.X(), 0);\r\nPtsX.setAttribute({visible:false});\r\nvar PtsY = drawPoint(graph, 0, ()=>Pts.Y());\r\nPtsY.setAttribute({visible:false});\r\nvar Xaxis =drawSegment(graph, Pts, PtsX);\r\nXaxis.setAttribute({dash:1});\r\nvar Yaxis =drawSegment(graph, Pts, PtsY);\r\nYaxis.setAttribute({dash:1});\r\n///////////////////////////GRAPHICS MODULES//////////////////\r\nvar bck =placeWhite(graph);\r\nvar show =placeBCircles(graph);\r\nvar hide=placeCircles(graph);\r\nvar check = placeChecks(graph);\r\nvar cross = placeCross(graph);\r\nvar exclaim = placeExclaim(graph);\r\n/***************************BUTTON MODULES******************/\r\nvar test =placeTest(graph);\r\nhoverMe(graph, test, 'Next Question', -20, 0);\r\n/***************************************/\r\nvar i=0; var k=0; var vis=false;\r\n///////////////////////////////////////////////////////////////\r\nvar ansList = ['&omega;&radic;3', '-2&omega;&radic;3', '+2&omega;', '+2&omega;&radic;3']\r\nvar ansArray = listAns(graph, ansList);\r\n//////////////////////////////////////////////////////////////\r\nvar omg1 = writeHTMLText(graph, 4, 4, '&omega;');\r\nvar omg2 = writeHTMLText(graph, -4, -4, '&omega;');\r\n/////////////////////////////////////////////////\r\nvar hint =writeHTMLText(graph, positionX, positionY, '<ol> <li>First, express x as a function of &alpha; using trigonometric relations. <br><br> </li> <li>Then take the derivative of the both sides, and use chain rule to express dx/dt in terms of radius of the disc and &omega; </li></ol>');\r\nhint.setAttribute({visible:false, color:'white'});\r\nhide[0].setAttribute({visible:false});\r\n/**************************TEST BUTTON ***********************/\r\ntest.on('down', function()\r\n{\r\n      if(index_selected_answer == index_right_answer[i]&& yourTotal<PtmList.length)\r\n\t  { //is correct\r\n        check[i].setAttribute({visible:true});\r\n       // cross[i].setAttribute({visible:false});\r\n        yourScore = yourScore+1;\r\n      }\r\n      else if(index_selected_answer != index_right_answer[i] && yourTotal<PtmList.length && index_selected_answer != -1)\r\n      { //is incorrect\r\n        //check[i].setAttribute({visible:false});\r\n        cross[i].setAttribute({visible:true});\r\n\t\tyourWrong = yourWrong+1;\r\n\r\n      }\r\n\t  else if (index_selected_answer == -1 && yourTotal<PtmList.length)\r\n\t  {   exclaim[i].setAttribute({visible:true});\r\n\t\t  yourMissed = yourMissed+1;\r\n\t  }\r\n\t  yourTotal = yourScore + yourWrong + yourMissed;\r\n\r\n    if(i==PtmList.length-1)\r\n    {\r\n     //\r\n\t  //hide.forEach(function(item){item.setAttribute({visible:true})});\r\n      //check.forEach(function(item){item.setAttribute({visible:false})});\r\n      //cross.forEach(function(item){item.setAttribute({visible:false})});\r\n\t  //i = 0;\r\n\t  bck.setAttribute({opacity:1});\r\n\t  scoreCard.setAttribute({visible:true});\r\n\t  missedCard.setAttribute({visible:true});\r\n      wrongCard.setAttribute({visible:true});\r\n\t  ansList[0]=answers[0][0];\r\n\t  ansList[1]=answers[0][1];\r\n\t  ansList[2]=answers[0][2];\r\n\t  ansList[3]=answers[0][3];\r\n\t  omg1.setAttribute({visible:false});\r\n\t  omg2.setAttribute({visible:false});\r\n\t  alpha.setAttribute({visible:false});\r\n\t  question.setAttribute({visible:false});\r\n\t  comment.setAttribute({visible:false});\r\n\t  hint.setAttribute({visible:false});\r\n\t  ansArray[0].forEach(function(item){item.setAttribute({visible:false})});\r\n    }\r\n\telse\r\n\t{\r\n\tscoreCard.setAttribute({visible:false});\r\n\tmissedCard.setAttribute({visible:false});\r\n\twrongCard.setAttribute({visible:false});\r\n\ti=i+1;\r\n\tansList[0]=answers[i][0];\r\n\tansList[1]=answers[i][1];\r\n\tansList[2]=answers[i][2];\r\n\tansList[3]=answers[i][3];\r\n\t}\r\n\thide[i].setAttribute({visible:false});\r\n\tansArray[1].forEach(function(item){item.setAttribute({visible:false})});\r\n    ansArray[0].forEach(function(item){item.setAttribute({color:'grey'})});\r\n    Ptm.moveTo([PtmList[i], 8], 200);\r\n\tindex_selected_answer = -1;\r\n});\r\n/*****************************SHUFFLE BUTTON ***********************/\r\nvar redo = placeShuffle(graph, 'left');\r\nhoverMe(graph, redo, 'Start Over', 0, 0);\r\nredo.on('down', function(){\r\n\t//INITIALIZATION\r\n\t  hide.forEach(function(item){item.setAttribute({visible:true})});\r\n      check.forEach(function(item){item.setAttribute({visible:false})});\r\n      cross.forEach(function(item){item.setAttribute({visible:false})});\r\n\t  exclaim.forEach(function(item){item.setAttribute({visible:false})});\r\n\t  yourScore=0;\r\n\t  yourMissed=0;\r\n\t  yourWrong=0;\r\n\t  yourTotal=0;\r\n\t  scoreCard.setAttribute({visible:false});\r\n\t  missedCard.setAttribute({visible:false});\r\n      wrongCard.setAttribute({visible:false});\r\n\t  hint.setAttribute({visible:false});\r\n\t  i=0;\r\n\t  hide[0].setAttribute({visible:false});\r\n\t  ansList[0]=answers[0][0];\r\n\t  ansList[1]=answers[0][1];\r\n\t  ansList[2]=answers[0][2];\r\n\t  ansList[3]=answers[0][3];\r\n\t  bck.setAttribute({opacity:0});\r\n\t  Ptm.moveTo([PtmList[0], 8], 200);\r\n\t  ansArray[1].forEach(function(item){item.setAttribute({visible:false})});\r\n      ansArray[0].forEach(function(item){item.setAttribute({visible:true, color:'grey'})});\r\n\t  index_selected_answer = -1;\r\n\t  omg1.setAttribute({visible:true});\r\n\t  omg2.setAttribute({visible:true});\r\n\t  alpha.setAttribute({visible:true});\r\n\t  question.setAttribute({visible:true});\r\n\t  comment.setAttribute({visible:true});\r\n});\r\n/********************PLACE LOGO ********************/\r\nvar edliy = placeLogo(graph);\r\nhoverMe(graph, edliy, 'Tap to see a hint', 0, 0);\r\nedliy.on('down',\r\nfunction(){\r\n    k = toggle(k);\r\n\t  vis = toggleTF(vis);\r\n    bck.setAttribute({opacity:k});\r\n\t  scoreCard.setAttribute({visible:false});\r\n\t  missedCard.setAttribute({visible:false});\r\n\t  wrongCard.setAttribute({visible:false});\r\n    hint.setAttribute({visible:vis});\r\n\t  question.setAttribute({visible:!vis});\r\n\t  omg1.setAttribute({visible:!vis});\r\n\t  omg2.setAttribute({visible:!vis});\r\n\t  alpha.setAttribute({visible:!vis});\r\n\t  ansArray[0].forEach(function(item){item.setAttribute({visible:!vis})});\r\n    question.setAttribute({visible:!vis});\r\n  \tcomment.setAttribute({visible:!vis});\r\n});\r\ngraph.unsuspendUpdate();\r\n/******************END OF FILE ***************************/\r\nfunction listAns(board, obj){\r\n  const boundingBox = board.attr.boundingbox;\r\n  const size =(boundingBox[2]-boundingBox[0])/12;\r\n  const positionX = -(boundingBox[2]-boundingBox[0])/2+0.5;\r\n  const positionY = (boundingBox[2]-boundingBox[0])/2-0.5;\r\n  const m ={\r\n  anchorX: 'left',\r\n  display: 'html',\r\n  highlight: false,\r\n  fixed: true,\r\n  anchorY: 'middle',\r\n  color:'grey',\r\n  CssStyle: 'fontFamily:Oswald;',\r\n  highlight:false,\r\n  fontSize: () => Math.round(26*board.canvasWidth /800.)};\r\n  ////////////////////////////////////////////////////////\r\n  const letters =['a. ', 'b.  ', 'c. ', 'd.  '];\r\n  let imgs =[];\r\n  let txts =[];\r\n  txts[0] =board.create('text', [positionX+0.35, positionY-1,  ()=>letters[0]+obj[0]], m);\r\n  txts[1] =board.create('text', [positionX+0.35, positionY-2,  ()=>letters[1]+obj[1]], m);\r\n  txts[2] =board.create('text', [positionX+0.35, positionY-3,  ()=>letters[2]+obj[2]], m);\r\n  txts[3] =board.create('text', [positionX+0.35, positionY-4,  ()=>letters[3]+obj[3]], m);\r\n  for(let il=0; il<=3; il++)\r\n  {\r\n  ////////////////////////////////////////////////////////////////////////////////////////////////\r\n  imgs[il]=board.create('image',['/assets/finger.svg', [positionX-0.35, positionY-il-0.35-1],[0.5,0.5]], {\r\n    opacity:1,\r\n    fixed:true,\r\n    highlight:false,\r\n    rotate:0,\r\n    visible:false\r\n  });\r\n  //////////////////////////////////////////////////////////////////////////////////////////////////\r\n  txts[il].on('down',\r\n  function(){\r\n    txts.forEach(function(item){item.setAttribute({color:'grey'})});\r\n    imgs.forEach(function(item){item.setAttribute({visible:false})});\r\n    txts[il].setAttribute({color:'black'});\r\n    imgs[il].setAttribute({visible:true});\r\n    index_selected_answer = il.valueOf();;\r\n  });\r\n  ///////////////////////////////////////////////////////////////////////////////////////////////\r\n}\r\n  return [txts, imgs];\r\n}\r\n}\r\n}\r\nexport default Boxes;\r\n","<template>\r\n  <div>\r\n    <br>\r\n    <h5>Problem Description</h5>\r\n    <p class=\"big mt-2\">\n      Imagine a particle ('P') tied to the rim of a circular disc. The disc is spinning at an angular speed of &omega;.\r\n      The angular position of the particle at any time is given by angle &alpha;. Thus, d&alpha;/dt = &omega;. <br>\r\n      Now, let's say the Cartesian coordinates of the particle are given by &mdash; (x, y).\r\n      <br>\r\n      The goal is to find the horizontal velocity of the particle, which is dx/dt, at the given location of the particle.\r\n      <br>\r\n    </p>\r\n    <h5> Buttons on the MagicGraph </h5>\r\n    <p class=\"big mt-2\">\r\n      <i class=\"shuffler ma-1\" /> &mdash; is the 'Start Over' button. Tap on this button to start over the exercise from the begining. <br>\r\n      <i class=\"tester ma-1\" /> &mdash; is the 'Check Your Answer' button. Tap on this button to check your answer and move over to the next question.<br>\r\n      <i class=\"logor ma-1\" />&mdash;  is the 'Get a Hint' button. Tap on this button to receive a hint on how to solve this problem.\r\n    </p>\r\n    <h5> Marks & Indications </h5>\r\n    <p class=\"big mt-2\">\r\n      The marks and indications are located on the top-left corner of the MagicGraph, and show your attempt status. <br>\r\n      <i class=\"righter ma-1\" /> &mdash; the right checkmark that your attempted response was correct. <br>\r\n      <i class=\"wrong ma-1\" /> &mdash; this crossmark indicates that your attempted response was incorrect. <br>\r\n      <i class=\"missed ma-1\" /> &mdash; this exclaimation mark indicates an unattempted (missed) response. <br>\r\n    </p>\r\n    <br>\r\n    <div style=\"text-align:center\">\r\n      <h3> MagicGraph | Derivative as Rate of Change </h3>\r\n    </div>\r\n    <v-responsive>\r\n      <v-layout justify-center>\r\n        <div id=\"jxgbox1\" class=\"edliy-box-about\" />\r\n      </v-layout>\r\n    </v-responsive>\r\n  </div>\r\n</template>\r\n<script>\r\nimport Boxes from './Boxes.js'\r\nexport default {\r\n  name: 'Derivatives',\r\n  created: function () {\r\n    this.$store.commit('navigation/resetState');\r\n    let title = 'Derivative as Rate of Change ';\r\n    this.$store.commit('navigation/changeTitle', title);\r\n    this.$store.commit('navigation/changeMenu', title);\r\n    let newTopics = [\r\n      {title: 'Probability', img:'/assets/number-1.svg', action: () => this.goto('intro')},\r\n      {title: 'Probability of an Event', img:'/assets/number-2.svg', action: () => this.goto('types')},\r\n      {title: 'MagicGraph',img:'/assets/touch.svg', action: () => this.goto('pg')},\r\n    ];\r\n    this.$store.commit('navigation/replaceTopics', newTopics);\r\n    let newshowhome = false;\r\n    this.$store.commit('navigation/toggleshowhome', newshowhome);\r\n    let newMath =true;\r\n    this.$store.commit('navigation/replaceMath', newMath);\r\n    let newLeftArrow =true;\r\n    this.$store.commit('navigation/replaceLeftArrow', newLeftArrow);\r\n    let newModule=true;\r\n    this.$store.commit('navigation/replaceModule', newModule);\r\n  },\r\n  mounted () {\r\n    MathJax.Hub.Queue([\"Typeset\", MathJax.Hub]);\r\n    Boxes.box1();\r\n  },\r\n  metaInfo() {\r\n  return{ title: 'Application of Derivatives',\r\n          titleTemplate: '%s | Learn interactively',\r\n          meta: [\r\n                  {vmid: 'description', name: 'description', content: 'Learn interactively about derivatives.'}\r\n                ]\r\n        }\r\n   },\r\n}\r\n</script>\r\n","import mod from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"; export default mod; export * from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"","import { render, staticRenderFns } from \"./Lesson.vue?vue&type=template&id=f3e2fdd4&\"\nimport script from \"./Lesson.vue?vue&type=script&lang=js&\"\nexport * from \"./Lesson.vue?vue&type=script&lang=js&\"\n\n\n/* normalize component */\nimport normalizer from \"!../../../../../node_modules/vue-loader/lib/runtime/componentNormalizer.js\"\nvar component = normalizer(\n  script,\n  render,\n  staticRenderFns,\n  false,\n  null,\n  null,\n  null\n  \n)\n\nexport default component.exports"],"sourceRoot":""}