SHOW ALL YOUR WORK ON THESE PAGES! TOTAL SCORE = 100

- 1.
- (30 points)

The graph of a function

*f*(*x*) is shown in Figure 1.- (a)
- Estimate the area under the graph between
*x*=2 and*x*=7 . - (b)
- Estimate

- 2.
- (20 points)
A car is traveling back and forth
along a straight road that runs East-West. We make the
convention that positive velocity means velocity Eastward. During a half
hour, we measure the velocity (in miles per hour) every 6 minutes (6
minutes = 0.1 hour), with
the following results.
Use the data in the table to estimate:

- (a)
- Where the car is at the end of the half hour with
respect to where it was at the beginning.
Tell us explicitly how you are making the estimate!
- (b)
- How far the car drove (total mileage) during the half hour. Tell us explicitly how you are making the estimate!

- 3.
- (30 points)
Find anti-derivatives of the following functions:
- (a)
- (b)
- (c)

- 4.
- (20 points)
Calculate the following definite integrals using the ``Evaluation Theorem.''
*You must use the Evaluation Theorem to get credit!*- (a)
- (b)