×
×

# Linear approximation a. Write The equation of | Ch 4.5 - 11E

ISBN: 9780321570567 2

## Solution for problem 11E 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 0 338 Reviews
10
1
Problem 11E

Linear approximation a. Write The equation of the line that represents the linear approximation to the following functions at the given point a. b. Graph the function and the linear approxim?ation near x = ?a. c. Use the linear approximation to estimate the given function value. d. Compute the percent error in your ? approximation: 100 • lapprox-exact| / |exact| ? ? ? ? f?(?x) = cos ? ;? = 0; ?f(?0.01)

Step-by-Step Solution:
Step 1 of 3

Solution 11E STEP 1 Given f(x) = cos x;a = 0;f( 0.01) f x) = sin x (a). Equation of the line of linear approximation y = L(x) = f(a) + f (a)(x a) Thus f(a) = cos 0 = 1 f a) = sin 0 = 0 Therefore y = L(x) = f(a) + f (a)x a) y = 1 + 0(x 0) = 1 Thus we get y = 1 STEP 2 (b).Graph the function and the linear approximation near x =...

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution