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SEMESTER 1 PRACTICE
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2. 1.
ANSWER: D

3. 2.
Use the graph of f to estimate a value of c to satisfy the Mean Value Theorem over the interval [-2,2]
ANSWER: accept anything between
-0.5 to 0

4. 3.
ANSWER: D

5. 4.
ANSWER: C

6. 5.
ANSWERS:

7. 6.
If a ball is thrown into the air with a velocity of
80 ft/s, its height in feet after t seconds is given by s(t) = 80t – 16t2. It will be at a maximum height when its instantaneous velocity is zero. Find its average velocity from the time it is thrown (t = 0) to the time it reaches its maximum height.
ANSWER: E

8. 7.
ANSWER: D

9. 8.
ANSWER:

10. ANSWER: by Product Rule9.
ANSWER: by Product Rule

11. 10.
ANSWER: A

12. 11.
ANSWER: F

13. 12.
ANSWER: G

14. 13.
ANSWER: C

15. 14.
ANSWER: B

16. 15.
The curve y = x3 + x2 – x has two horizontal tangents. Find the distance between these two horizontal lines.
ANSWER: C

17. 16.
ANSWER: E

18. ANSWER: By Quotient Rule
17.
ANSWER: By Quotient Rule

19. 18.
Find the slope of the normal line to the curve y = 4x2 – 5x at the point (1, -1).
ANSWER: E

20. 19.
ANSWER: C

21. 20.
Find f ‘ (x).
ANSWER: 0

22. 21.
ANSWER: D