{
 "version": 11,
 "randomSeed": "marola",
 "graph": {
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   "xmax": 12,
   "ymin": -12,
   "ymax": 12
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  "showXAxis": true,
  "showYAxis": true,
  "squareAxes": true
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    "latex": "f_{1}(x)=-0.6+0.45\\sin(0.9x+0.4)+0.15\\sin(2.07x+0.68)",
    "hidden": true
   },
   {
    "type": "expression",
    "id": "5",
    "latex": "f_{2}(x)=-3+0.9\\sin(0.62x+2.2)+0.3\\sin(1.426x+3.74)",
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   },
   {
    "type": "expression",
    "id": "6",
    "latex": "f_{3}(x)=-4.9+1\\sin(0.55x+4.1)+0.3333\\sin(1.265x+6.97)",
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   },
   {
    "type": "expression",
    "id": "7",
    "latex": "f_{4}(x)=-7.2+0.8\\sin(0.7x+0.9)+0.2667\\sin(1.61x+1.53)",
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   },
   {
    "type": "expression",
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    "latex": "r_{o}(t)=6e^{-0.29t}",
    "hidden": true
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    "type": "expression",
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    "latex": "r_{i}(t)=r_{o}(t)\\left(1-0.5\\left(1-\\frac{t}{5.4978}\\right)^{0.7}\\right)",
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   },
   {
    "type": "expression",
    "id": "10",
    "latex": "S(a,t)=\\left(-0.6+a\\cos(t-0.05),2.3+a\\sin(t-0.05)\\right)",
    "hidden": true
   },
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    "type": "expression",
    "id": "11",
    "latex": "U=\\left[0,0.005,...,1\\right]",
    "hidden": true
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   {
    "type": "expression",
    "id": "12",
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    "hidden": true
   },
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    "latex": "P_{0}=(11,-4.2)",
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    "type": "expression",
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    "latex": "P_{1}=(6.5925,-1.5999)",
    "hidden": true
   },
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    "type": "expression",
    "id": "15",
    "latex": "Q(s)=(1-s)^2P_{0}+2s(1-s)P_{1}+s^2S\\left(r_{o}(0),0\\right)",
    "hidden": true
   },
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    "type": "expression",
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    "latex": "\\left[(-1.15,2.25),(-0.45,1.55),(0.75,3.05)\\right]",
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}