1. (a) Let f(x) be a function which is infinitely differentiable in the neighborhood of a point x = x,. Write a Taylor polynomial of degree n, P,(x) for f(x). (b). Determine the Taylor polynomial of degree 3, P,(x) for f(x)= Vx about X, = 36 Use this to obtain the square root of 40.375 with six -digit mantissa. (c) Determine the relative error and the absolute error.

1. (a) Let f(x) be a function which is infinitely differentiable in the neighborhood of a point x = x,. Write a Taylor polynomial of degree n, P,(x) for f(x). (b). Determine the Taylor polynomial of degree 3, P,(x) for f(x)= Vx about X, = 36 Use this to obtain the square root of 40.375 with six -digit mantissa. (c) Determine the relative error and the absolute error.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.3: Change Of Basis

Problem 17EQ

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