# Test4 - + d. dx x 3 5. (10 pts.) a) Suppose the ) ( t C...

This preview shows pages 1–7. Sign up to view the full content.

Name: ____________________________ Calculus Test #4 (Chapter 5) SHOW ALL WORK!!! 1. (15 pts.) a) Use the limit definition to evaluate 3 2 2 dx x b) Use the Fundamental Theorem of Calculus to check your answer from part a.

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

View Full Document
2. (20 pts.) The graph of ( ) f t is given below. Let 0 ( ) ( ) x F x f t dt = a) Find ) 2 ( F b) Find ) 6 ( F c) At what value(s) of x does ) ( x F attain its local minimum(s)? d) At what value of x does ) ( x F attain its global maximum? e) When is ) ( x F concave down? f) When is ) ( x F concave up?
3. (15 pts.) A car comes to a stop six seconds after the driver applies the brakes. While the brakes are on, the following velocities are recorded: a) Give an upper bound for the total distance traveled by the car. b) Give a lower bound for the total distance traveled by the car. t (sec) v ( t ) ft/sec 0 88 2 45 4 16 6 0

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

View Full Document
4. (30 pts.) Find the following integrals: a. - - 2 1 0 2 1 1 ) ( sin dx x x b. + 1 0 2 1 3 dx x
c. dx x x xe x x

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: + d. dx x 3 5. (10 pts.) a) Suppose the ) ( t C represents the daily cost of heating your house, measured in dollars per day, where t is time measured in days and = t corresponds to January 1, 2009. Interpret 90 ) ( dt t C in words. b) If water is leaking out of a tank at a rate of ) ( t R gallons per hour, where t is measured in hours. Write a definite integral that expresses the total amount of water that leaks out in the first two hours. What units will the integral have? 6. (10 pts.) Estimate 2 1 dx e x using right-hand endpoints with 3 subdivisions. Draw a picture of what you are doing and show all work. Extra Credit: Which of the following areas are equal? Why? (You must explain your answer, guessing will NOT give you any credit)...
View Full Document

## This note was uploaded on 01/23/2010 for the course MATH 3A taught by Professor Williamson during the Spring '08 term at Laney College.

### Page1 / 7

Test4 - + d. dx x 3 5. (10 pts.) a) Suppose the ) ( t C...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online