# hw11 - Math 341 Homework 11 P131 32(b 33 35 37 P165 3 5...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 341 Homework # 11 P131. 32(b), 33, 35, 37. P165. 3, 5. P166. 8, 9. 32(b). Assume the rules for differentiating the elementary functions, and use L’Hospital’s rule and find the limit lim x → x e x- 1 . Solution: lim x → x e x- 1 = lim x → x ( e x- 1) = lim x → 1 e x = 1 . 33. Use L’Hospital’s rule to find the limit lim x → x 2 sin x sin x- x cos x . Solution: lim x → x 2 sin x sin x- x cos x = lim x → ( x 2 sin x ) (sin x- x cos x ) = lim x → 2 x sin x + x 2 cos x cos x- cos x + x sin x = lim x → 2 sin x + x cos x sin x = lim x → (2 sin x + x cos x ) (sin x ) = lim x → 2 cos x + cos x- x sin x cos x = 3 1 = 3 . 1 35. Find an equation for the line tangent to the graph of f- 1 at the point (3 , 1) if f ( x ) = x 3 + 2 x 2- x + 1. Solution: Since f ( x ) = 3 x 2 + 4 x- 1 , we get f (1) = 3 + 4- 1 = 6 . Thus, ( f- 1 ) (3) = 1 f (1) = 1 6 . The line is y- 1 = 1 6 ( x- 3) ....
View Full Document

## This note was uploaded on 08/13/2009 for the course MAT 371 taught by Professor Thieme during the Spring '07 term at ASU.

### Page1 / 5

hw11 - Math 341 Homework 11 P131 32(b 33 35 37 P165 3 5...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online