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SEMESTER 1 PRACTICE
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2. 21.
ANSWER: C

3. 22.
ANSWER: D

4. 23.
ANSWER: B

5. 24.
ANSWER: B

6. 25.
ANSWER: C

7. 26.
ANSWER: C

8. 27.
ANSWER: B

9. 28.
ANSWER: G

10. 29.
ANSWER: G

11. 30.
ANSWER: E

12. 31.
ANSWER: G

13. 32.
ANSWER: D

14. 33.
ANSWER: A

15. 34.
ANSWER:

16. 35.
ANSWER: B

17. 36
ANSWER: C

18. 37.

19. 38.
Find a linear approximation to estimate 26 .
ANSWER: A

20. 39.
ANSWER: C

21. 40.
ANSWER: D

22. 41.
ANSWER: B

23. 42.
ANSWER: C

24. 43.
ANSWER: D

25. 44.
ANSWER: around 1.4 & 5.5

26. 45.
ANSWER: G

27. 46.
ANSWER: C

29. 47.
ANSWER: C

30. 48.
ANSWER: H

31. Given the graph of f(x) below, sketch a graph of f ‘ (x).
ANSWER:

32. 50.
ANSWER: H

33. lim 𝑥 →0 7− 7cos 𝑥 5𝑥 =? (A) 1 (B) 7 5 (C) 0 (D) 5 7 (E) 7 (F) ∞
(G) (H) none of these
51.
ANSWER: C

34. (A) 𝑦−2=4 𝑥−0 Find the linear approximation of f(x) = 1 𝑥+2 2 at f(0).
(B) y = −𝑥
(C) 𝑦 −4= 1 4 𝑥
(D) 𝑦 =− 1 4 𝑥+ 1 4
(E) none of these
52.
ANSWER: D

35. Given 5x3 – 7x2 = e2t + e2. Find 𝑑𝑥 𝑑𝑡 .
(A) 𝑒 𝑥 2 −14𝑥 (B) 𝑥 2 −14𝑥
(C) 𝑡 15 𝑥 2 −14𝑥 (D) 14𝑒 15𝑥 2
(E) (F) 𝑑.𝑛.𝑒.
53.
ANSWER: A

36. 54.
ANSWER: G

37. 55.
ANSWER: F

38. 56.
ANSWER:

39. 57. Given the graph of f ‘ (x) shown, sketch a graph that could be f(x).
ANSWER:

40. 58.
ANSWER: E

41. 59.
ANSWER: E

42. 60.
ANSWER: H

43. 61.
ANSWER: F

44. 62.
ANSWER: B

45. 63.
ANSWER:

46. 64. A plane flying horizontally at an altitude of 1 km and a speed of 500 km/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 km away from the station.
ANSWER: C

47. 65. A hog weighs 250 pounds. A high-yield diet allows the animal to gain 6 pounds a day at a cost of $0.56 a day. The market price for hogs is currently $0.75 per pound, but is falling at a rate of $0.01 per day, and that price decline is expected to remain steady for the foreseeable future. When should the hog be sold in order to provide the farmer with the highest financial gain?
ANSWER: 12 days