# final1 - Name: Final A for Calculus I (151K) 1. Evaluate...

This preview shows pages 1–8. Sign up to view the full content.

Name: Final A for Calculus I (151K) 1. Evaluate the limit. (a) lim x 5 - x x 2 - 25 . (b) lim x 8 + x 2 - 100 x - 8 . (c) lim x →∞ 1 + 2 x + x 3 2 + 3 x + 4 x 3 .

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

View Full Document
2. Evaluate the limit. (a) lim x 4 x 2 - 16 x - 2 . (b) lim x 1 x + 3 - 2 x 2 - 1 . (c) lim x 0 + (1 + x ) 1 x .
3. Evaluate the derivative of f ( x ) = 1 2 x + 1 from the deFnition.

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

View Full Document
4. Evaluate the derivative. (a) f ( x ) = ln( x 4 + 1). (b) f ( x ) = sin x x 2 . (c) y = r ( x 2 + 1)( x + 4) 5 . (d) y = arctan( e x ).
5. Find the equation for the tangent line to the curve x 4 + x 2 y + y 2 = 7 at the point ( - 1 , 2). 6. Find the maximum and minimum values of the given function on the given interval: f ( x ) = x x 2 + 1 ; [ - 2 , 2] .

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

View Full Document
7. A 6-foot-tall man jogs away from a lightpost at the rate of 12 feet per second. If the lightpost is 20 feet tall, how quickly is the tip of the man’s shadow moving across the ground?
8. Suppose that f ( x ) = 8 x 2 - x 4 . Find the intervals on which f is increasing and de-

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.

## This note was uploaded on 10/20/2011 for the course MTH 151 taught by Professor Skillings during the Spring '08 term at Miami University.

### Page1 / 12

final1 - Name: Final A for Calculus I (151K) 1. Evaluate...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online