×
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 21e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.5 - Problem 21e

×

# Estimations with linear approximation Use | Ch 4.5 - 21E

ISBN: 9780321570567 2

## Solution for problem 21E Chapter 4.5

Calculus: Early Transcendentals | 1st Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Calculus: Early Transcendentals | 1st Edition

4 5 1 432 Reviews
24
0
Problem 21E

Estimations with linear approximation ?Use linear approximations to estimate the following quantities. Choose a value of a to produce a small error. 1 ?510

Step-by-Step Solution:
Step 1 of 3

Solution 21E 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 ()(x a) STEP 2 3 Here,let f(x) = 1/ x;and choose a=512 We get f () = 14 3x3 f(a) = 3 1 = 8 and f(a) = 1 4 = 3×4096 = 12288 512 3(512)3 Therefore the Linear approximation of the function,f(x),near a point x=a, is L(x) = f(a) + f (a)(x a) L(x) = 8 12288 (x 512) STEP 3 1 According to the question 3 = f(510) 510 f(510) L(510) = 8 12288(510 512) = 0.1252 1 Therefore 510 0.1252

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution