1. Click to see each answer.
SEMESTER 1 PRACTICE
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2. 1.
ANSWER: A

3. 2.
ANSWER: F

4. 3.
ANSWER: G

5. 4.
ANSWER: C

6. 5.
ANSWER: B

7. 6.
The curve y = x3 + x2 – x has two horizontal tangents. Find the distance between these two horizontal lines.
ANSWER: C

8. 7.
ANSWER: E

9. ANSWER: By Quotient Rule8.
ANSWER: By Quotient Rule

10. 9.
Find the slope of the normal line to the curve y = 4x2 – 5x at the point (1, -1).
ANSWER: E

11. 10.
ANSWER: C

12. 11.
ANSWER: D

13. 12.
ANSWER: D

14. 13.
ANSWER: D

15. 14.
ANSWER: C

16. 15.
ANSWERS:

17. 16.
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

18. 17.
ANSWER: D

19. 18.
ANSWER:

20. ANSWER: by Product Rule
19.
ANSWER: by Product Rule

21. 20.
Find f ‘ (x).
ANSWER: 0