Consider the following function.f(x) = e³x² a = 0, n = 3,0 ≤ x ≤ 0.1(a) Approximate f by a Taylor polynomial with degreen at the number a.T3(x) = 1 + 3x²(b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ~ T(x) when x lies in the given interval. (Round your answer to five decimal places.)|R3(x)| ≤ 2.4675(c) Check your result in part (b) by graphing |R₂(x)].yy0.0007X0.00060.02 0.04 0.06 0.08 0.10-0.00010.0005-0.00020.0004

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Answered: Consider the following function. F(x) =…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.6: Rational Functions

Problem 2E

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