{"text_format":"3","workbook":"xlsx","n_sheets":2,"sheets":["PowerSeries","Sheet1"],"not_rendered":{"charts":1,"images":6,"macros":1,"external_links":1,"defined_names":30,"comments":1},"read":"whole","date_system":"1900"}

{"sheet":"PowerSeries","index":0,"n_rows":54,"n_cols":10,"rows_kept":54,"merged":[[47,2,47,3]]}
[null,"    Power Series Approximations"]
[]
[null,"This graphing utility lets you investigate "]
[null," successive power series approximations"]
[null,null,"        to any function"]
[null,null,"based on the coefficients"]
[null,null,"  centered about x = c."]
[]
[]
["Enter each coefficient as a decimal:"]
[null,"The constant coefficient a0 =",{"$nulls":3},2]
[]
[null,"The linear coefficient a1 =",{"$nulls":3},0.5]
[]
[null,"The quadratic coefficient a2 =",{"$nulls":3},-0.4]
[]
[null,"The cubic coefficient a3 =",{"$nulls":3},0.06]
[]
[null,"The quartic coefficient a4 =",{"$nulls":3},-0.01,null,null,"Now select all the power series approximations you want to see  "]
[]
[null,"The quintic coefficient a5 =",{"$nulls":3},0.004,{"$nulls":3},true]
[]
[{"$nulls":9},true]
["What is the center point c for (x- c)k?",{"$nulls":4},2]
[{"$nulls":9},true]
[]
[]
["Enter the interval for x:  ",{"$nulls":8},true]
[null,null,"xMin =",-1]
[null,null,"xMax =",3,{"$nulls":5},true]
[]
[]
[{"$nulls":9},true]
[]
[]
[]
[]
["Click each item below for suggestions and investigations"]
[null,null,"   Item 1"]
[null,null,"   Item 2"]
[null,null,"   Item 3"]
[null,null,"   Item 4"]
[null,null,"   Item 5"]
[]
[]
[]
["To access/download all the DIGMath Apps for Calculus"]
["   Click this link:",null,"DIGMath for Calculus"]
[]
["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."]

{"sheet":"Sheet1","index":1,"n_rows":33,"n_cols":2,"rows_kept":33}
["Constant"]
[{"$f":"IF(PowerSeries!$J21=FALSE, cc, a)","v":-1},{"$f":"a0","v":2}]
[{"$f":"IF(PowerSeries!$J21=FALSE, cc, b)","v":3},{"$f":"a0","v":2}]
[]
["Linear"]
[{"$f":"IF(PowerSeries!$J23=FALSE, cc, a)","v":-1},{"$f":"IF(PowerSeries!$J23=FALSE, a0, a0+b0*(a-cc))","v":0.5}]
[{"$f":"IF(PowerSeries!$J23=FALSE, cc, b)","v":3},{"$f":"IF(PowerSeries!$J23=FALSE, a0, a0+b0*(b-cc))","v":2.5}]
[]
["Quadratic"]
[{"$f":"IF(PowerSeries!$J25=FALSE, cc, a)","v":-1},{"$f":"IF(PowerSeries!$J25=FALSE, a0, a0+b0*(a-cc)+c0*(a-cc)^2)","v":-3.1}]
[{"$f":"cc","v":2},{"$f":"a0","v":2}]
[{"$f":"IF(PowerSeries!J$25=FALSE,cc,b)","v":3},{"$f":"IF(PowerSeries!$J25=FALSE, a0, a0+b0*(b-cc)+c0*(b-cc)^2)","v":2.1}]
[]
["Cubic"]
[{"$f":"IF(PowerSeries!$J28=FALSE, cc, a)","v":-1},{"$f":"IF(PowerSeries!$J$28=FALSE, a0, a0+b0*(a-cc)+c0*(a-cc)^2+d0*(a-cc)^3)","v":-4.72}]
[{"$f":"IF(PowerSeries!J28=FALSE,cc,a+(b-a)/3)","v":0.33333333333333326},{"$f":"IF(PowerSeries!$J$28=FALSE, a0, a0+b0*(A16-cc)+c0*(A16-cc)^2+d0*(A16-cc)^3)","v":-0.2222222222222227}]
[{"$f":"IF(PowerSeries!J28=FALSE,cc,a+2*(b-a)/3)","v":1.6666666666666665},{"$f":"IF(PowerSeries!$J$28=FALSE, a0, a0+b0*(A17-cc)+c0*(A17-cc)^2+d0*(A17-cc)^3)","v":1.7866666666666666}]
[{"$f":"IF(PowerSeries!J28=FALSE,a,b)","v":3},{"$f":"IF(PowerSeries!$J$28=FALSE, a0, a0+b0*(A18-cc)+c0*(A18-cc)^2+d0*(A18-cc)^3)","v":2.16}]
[]
["Quartic"]
[{"$f":"IF(PowerSeries!$J30=FALSE, cc, a)","v":-1},{"$f":"IF(PowerSeries!$J$30=FALSE, a0, a0+b0*(a-cc)+c0*(a-cc)^2+d0*(a-cc)^3+e0*(a-cc)^4)","v":-5.529999999999999}]
[{"$f":"IF(PowerSeries!J$30=FALSE,cc,a+(b-a)/4)","v":0},{"$f":"IF(PowerSeries!$J$30=FALSE, a0, a0+b0*(A22-cc)+c0*(A22-cc)^2+d0*(A22-cc)^3+e0*(A22-cc)^4)","v":-1.24}]
[{"$f":"IF(PowerSeries!J$30=FALSE,cc,a+2*(b-a)/4)","v":1},{"$f":"IF(PowerSeries!$J$30=FALSE, a0, a0+b0*(A23-cc)+c0*(A23-cc)^2+d0*(A23-cc)^3+e0*(A23-cc)^4)","v":1.03}]
[{"$f":"IF(PowerSeries!J$30=FALSE,cc,a+3*(b-a)/4)","v":2},{"$f":"IF(PowerSeries!$J$30=FALSE, a0, a0+b0*(A24-cc)+c0*(A24-cc)^2+d0*(A24-cc)^3+e0*(A24-cc)^4)","v":2}]
[{"$f":"IF(PowerSeries!J$30=FALSE,cc,a+4*(b-a)/4)","v":3},{"$f":"IF(PowerSeries!$J$30=FALSE, a0, a0+b0*(A25-cc)+c0*(A25-cc)^2+d0*(A25-cc)^3+e0*(A25-cc)^4)","v":2.1500000000000004}]
[]
["Quintic"]
[{"$f":"IF(PowerSeries!$J33=FALSE, cc, a)","v":-1},{"$f":"IF(PowerSeries!$J$33=FALSE, a0, a0+b0*(a-cc)+c0*(a-cc)^2+d0*(a-cc)^3+e0*(a-cc)^4+f0*(a-cc)^5)","v":-6.501999999999999}]
[{"$f":"IF(PowerSeries!J$33=FALSE,cc,a+1*(b-a)/5)","v":-0.19999999999999996},{"$f":"IF(PowerSeries!$J$33=FALSE, a0, a0+b0*(A29-cc)+c0*(A29-cc)^2+d0*(A29-cc)^3+e0*(A29-cc)^4+f0*(A29-cc)^5)","v":-2.115281280000001}]
[{"$f":"IF(PowerSeries!J$33=FALSE,cc,a+2*(b-a)/5)","v":0.6000000000000001},{"$f":"IF(PowerSeries!$J$33=FALSE, a0, a0+b0*(A30-cc)+c0*(A30-cc)^2+d0*(A30-cc)^3+e0*(A30-cc)^4+f0*(A30-cc)^5)","v":0.2914310400000002}]
[{"$f":"IF(PowerSeries!J$33=FALSE,cc,a+3*(b-a)/5)","v":1.4},{"$f":"IF(PowerSeries!$J$33=FALSE, a0, a0+b0*(A31-cc)+c0*(A31-cc)^2+d0*(A31-cc)^3+e0*(A31-cc)^4+f0*(A31-cc)^5)","v":1.5414329599999999}]
[{"$f":"IF(PowerSeries!J$33=FALSE,cc,a+4*(b-a)/5)","v":2.2},{"$f":"IF(PowerSeries!$J$33=FALSE, a0, a0+b0*(A32-cc)+c0*(A32-cc)^2+d0*(A32-cc)^3+e0*(A32-cc)^4+f0*(A32-cc)^5)","v":2.0844652800000003}]
[{"$f":"IF(PowerSeries!J$33=FALSE,cc,a+5*(b-a)/5)","v":3},{"$f":"IF(PowerSeries!$J$33=FALSE, a0, a0+b0*(A33-cc)+c0*(A33-cc)^2+d0*(A33-cc)^3+e0*(A33-cc)^4+f0*(A33-cc)^5)","v":2.1540000000000004}]