Error function An essential function in statistics and the study ofthe normal distribution is the error functiona. Compute the derivative of erf (x).b. Expand e in a Maclaurin series; then integrate to find thefirst four nonzero terms of the Maclaurin series for erf.c. Use the polynomial in part (b) to approximate erf (0.15) anderf (-0.09).d. Estimate the eror in the approximations of part (c).

It is given that, erfx=2π∫0xe-t2dt. a. The derivative of erfx. ddxerfx=2πe-x2 b. To expand e-t2 in…

Answered: Error function An essential function in…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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