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[null,"         Taylor Polynomial Approximations"]
[]
[null,null,"This graphing utility lets you investigate "]
[null,null,"  the Taylor polynomial approximations"]
[null,null,"              to any function y = f(x)"]
[null,null,"               centered about x = x0"]
[]
["   Enter the function in terms of x:   f(x) =",{"$nulls":3},"exp(x)"]
[]
[null,"What is the center point: x0 = ",null,0]
[]
[]
[null,"Enter the interval for x:  "]
[null,null,"     xMin =",-2]
[null,null,"     xMax =",4]
[{"$nulls":6},"   Trace along the curves:  "]
[]
["Now select all the Taylor polynomials you want to see  ",{"$nulls":6},215,null,"           x =",{"$f":"aa+2*dx*H18","v":3.16}]
[]
[{"$nulls":3},true,null,null,"         Along the original curve,  y = ",{"$nulls":3},{"$f":"LOOKUP(x00,Sheet2!C2:C502,Sheet2!D2:D502)","v":{"v":23.289439092810884,"d":"23.289439"}}]
[]
[{"$nulls":6},{"$f":"\"          \"&IF(D20=FALSE,\"\",\"On the linear function, y =\")","v":"          On the linear function, y ="},{"$nulls":3},{"$f":"IF(D20=FALSE,\" \",LOOKUP(x00,Sheet2!C$2:C$502,Sheet2!F$2:F$502))","v":{"v":4.166963779201082,"d":"4.166964"}}]
[{"$nulls":3},true]
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[{"$nulls":3},false]
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[null,true,null,true]
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[]
[null,false,null,true,null,null,{"$f":"\"        \"&IF(D30=FALSE,\"\",\"   On the quintic function, y =\")","v":"           On the quintic function, y ="},{"$nulls":3},{"$f":"IF(D30=FALSE,\"\",LOOKUP(x00,Sheet2!C$2:C$502,Sheet2!R$2:R$502))","v":{"v":21.32194942347337,"d":"21.321949"}}]
[]
[{"$nulls":6},{"$f":"\"        \"&IF(D33=FALSE,\"\",\"   On the sextic function, y =\")","v":"           On the sextic function, y ="},{"$nulls":3},{"$f":"IF(D33=FALSE,\"\",LOOKUP(x00,Sheet2!C$2:C$502,Sheet2!U$2:U$502))","v":{"v":22.72513145006857,"d":"22.725131"}}]
[null,false,null,true,{"$nulls":6},":"]
[{"$nulls":10},":"]
[{"$nulls":10},{"$f":"LOOKUP(x00,Sheet2!C17:C517,Sheet2!D17:D517)","v":{"v":23.289439092810884,"d":"23.289439"}}]
[]
["Click each item below for suggestions and investigations"]
[null,null,"   Item 1"]
[null,null,"   Item 2"]
[null,null,"   Item 3"]
[null,null,"   Item 4"]
[]
[]
["To access/download all the DIGMath Apps for Numerical Analysis"]
[" Click this link:",null,"DIGMath Modules for Numerical Analysis"]
[]
["Created by:  Sheldon P. Gordon   "]
["                      Farmingdale State College    "]
["Development of this module was supported by the "]
["NSF's Division of Undergraduate Education  "]
["under grants DUE-0310123 and DUE-0442160."]

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