1. Let f(x) = e2sinx. Find the third degree Maclaurin polynomial of f and use it to approximatef(0.02).2. Let g(x) = ln (4-x). Find the fourth degree Taylor polynomial of g about 3. Use it toapproximate In(1.04).

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1. Let f(x) = e2sinx. Find the third degree Maclaurin polynomial off and use it to approximate f(0.02).

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

1. Let f(x) = e2sinx. Find the third degree Maclaurin polynomial of f and use it to approximate
f(0.02).
2. Let g(x) = ln (4-x). Find the fourth degree Taylor polynomial of g about 3. Use it to
approximate In(1.04).

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