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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 16e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 16e

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Answer: Estimations with linear approximation Use linear ISBN: 9780321570567 2

Solution for problem 16E Chapter 4.5

Calculus: Early Transcendentals | 1st Edition

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Problem 16E

Estimations with linear approximation ?Use linear approximations to estimate the following quantities. Choose a value of a to produce a small error. 3 ?65

Step-by-Step Solution:
Step 1 of 3

Solution 16E STEP 1 Linear approximation is a method of estimating the value of a function,f(x),near a point x=a,using the formula L(x) = f(a)+f (a)(xa) STEP 2 Here,let f(x) = x;and choose a=64 1 We get f (x) = 3x3 f(a) = 64 = 4 and f(a) = 1 2= 1 = 1 3×643 3×16 48 Therefore the Linear approximation of the function,f(x),near a point x=a, is L(x) = f(a)+f (a)(xa) L(x) = 4+ (x64) 48 STEP 3 According to the question 65 = f(65) f(65) L(65) 1 = 4+ (4864) = 4.02 3 Therefore 65 4.02

Step 2 of 3

Step 3 of 3

ISBN: 9780321570567

Since the solution to 16E from 4.5 chapter was answered, more than 405 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The answer to “Estimations with linear approximation ?Use linear approximations to estimate the following quantities. Choose a value of a to produce a small error. 3 ?65” is broken down into a number of easy to follow steps, and 24 words. This full solution covers the following key subjects: Linear, Estimations, choose, Error, estimate. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 16E from chapter: 4.5 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.

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