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{"sheet":"Approx","index":0,"n_rows":43,"n_cols":17,"rows_kept":43,"cut":false,"hidden":false,"merged":[]}
[null,null,null,"Approximating the Sine Function"]
[]
[null,"                This program lets you \"build\" the best"]
[null,null,null,"   polynomial approximation to y = ex "]
[]
[]
[null,null,null,"based on the numbers a, b, c, …, f."]
[]
[null,null,null,"Start by setting all the coefficients to 0 "]
[null,null,null,"and then adjust each coefficient in turn "]
[null,null,null,"to get the best possible fit to the exponential curve."]
[null,null,null,"We start with the constant coefficient a = 1."]
[]
[null,"First adjust b (0 to 10) in the linear coefficient 1/b."]
[null,null,null,null,{"$f":"F15","v":3},3]
[null,"Next adjust c (0 to 10) in the quadratic coefficient 1/c."]
[null,null,null,null,{"$f":"F17","v":3},3,null,null,null,null,null,{"$f":"\"  y = \"&Sheet3!G13 & Sheet3!G15 & Sheet3!G17 & Sheet3!G19 & Sheet3!G21 & Sheet3!G23","v":"  y = 1 + (1/3)x +  (1/3)x^2 +  (1/10)x^3+  (1/15)x^4+  (1/75)x^5"}]
[null,"Then adjust d (0 to 20) in the cubic coefficient 1/d."]
[null,null,null,null,{"$f":"F19","v":10},10]
[null,"Then adjust e (0 to 40) in the quartic coefficient 1/e",null,null,null,null,null,null,null,null,null,null,"Enter an interval from -c to +c "]
[null,null,null,null,{"$f":"F21","v":15},15]
[null,"Finally adjust f (0 to 240) in the fifth degree coefficient 1/f ",null,null,null,null,null,null,null,null,null,null,{"$f":"-P22","v":-2.1},"to",{"$f":"P22","v":2.1},{"$f":"0.1+$Q22/10","v":2.1},20]
[null,null,null,null,{"$f":"5*F23","v":75},15]
[null,null,null,null,null,null,null,null,null,null,null,null,"The sum of the squares = ",null,null,{"$f":"Sheet3!G27","v":204.66902850537227}]
[]
[]
[]
[]
[null,null,"Click each item below for suggestions and investigations"]
[null,null,null,"   Item 1"]
[null,null,null,"   Item 2"]
[null,null,null,"   Item 3"]
[null,null,null,"   Item 4"]
[null,null,null,"   Item 5"]
[null,null,null,"   Item 6"]
[null,null,null,"   Item 7"]
[]
[]
["Created by:  Sheldon P. Gordon"]
["                     Farmingdale StateCollege"]
["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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[null,null,null,"Sum of Squares"]
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