semester 1 practice
DESCRIPTION
SEMESTER 1 PRACTICE. Click to see each answer. 1. ANSWER: A. 2. ANSWER: F. 3. ANSWER: G. 4. ANSWER: C. 5. ANSWER: B. 6. The curve y = x 3 + x 2 – x has two horizontal tangents. Find the distance between these two horizontal lines. ANSWER: C. 7. ANSWER: E. 8. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/1.jpg)
SEMESTER 1 PRACTICE
Click to see each answer.
![Page 2: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/2.jpg)
ANSWER: A
1.
![Page 3: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/3.jpg)
ANSWER: F
2.
![Page 4: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/4.jpg)
ANSWER: G
3.
![Page 5: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/5.jpg)
ANSWER: C
4.
![Page 6: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/6.jpg)
ANSWER: B
5.
![Page 7: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/7.jpg)
ANSWER: C
6.The curve y = x3 + x2 – x has two horizontal tangents. Find the distance between these two horizontal lines.
![Page 8: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/8.jpg)
ANSWER: E
7.
![Page 9: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/9.jpg)
8.
ANSWER: By Quotient Rule
![Page 10: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/10.jpg)
ANSWER: E
9. Find the slope of the normal line to the curve y = 4x2 – 5x at the point (1, -1).
![Page 11: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/11.jpg)
ANSWER: C
10.
![Page 12: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/12.jpg)
ANSWER: D
11.
![Page 13: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/13.jpg)
ANSWER: D
12.
![Page 14: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/14.jpg)
ANSWER: D
13.
![Page 15: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/15.jpg)
ANSWER: C
14.
![Page 16: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/16.jpg)
15.
ANSWERS:
![Page 17: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/17.jpg)
ANSWER: E
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.
![Page 18: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/18.jpg)
ANSWER: D
17.
![Page 19: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/19.jpg)
18.
ANSWER:
![Page 20: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/20.jpg)
19.ANSWER: by Product Rule
![Page 21: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/21.jpg)
20.Find f ‘ (x).
ANSWER: 0
![Page 22: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/22.jpg)
SEMESTER 1 PRACTICE
Click to see each answer.
![Page 23: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/23.jpg)
ANSWER: C
21.
![Page 24: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/24.jpg)
ANSWER: D
22.
![Page 25: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/25.jpg)
ANSWER: B
23.
![Page 26: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/26.jpg)
ANSWER: B
24.
![Page 27: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/27.jpg)
ANSWER: C
25.
![Page 28: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/28.jpg)
ANSWER: C
26.
![Page 29: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/29.jpg)
ANSWER: B
27.
![Page 30: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/30.jpg)
ANSWER: G
28.
![Page 31: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/31.jpg)
ANSWER: G
29.
![Page 32: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/32.jpg)
ANSWER: E
30.
![Page 33: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/33.jpg)
ANSWER: G
31.
![Page 34: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/34.jpg)
ANSWER: D
32.
![Page 35: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/35.jpg)
ANSWER: A
33.
![Page 36: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/36.jpg)
34.
ANSWER:
![Page 37: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/37.jpg)
ANSWER: B
35.
![Page 38: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/38.jpg)
ANSWER: C
36
![Page 39: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/39.jpg)
37.
![Page 40: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/40.jpg)
ANSWER: A
38. Find a linear approximation to estimate
![Page 41: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/41.jpg)
ANSWER: C
39.
![Page 42: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/42.jpg)
ANSWER: D
40.
![Page 43: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/43.jpg)
ANSWER: B
41.
![Page 44: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/44.jpg)
ANSWER: C
42.
![Page 45: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/45.jpg)
ANSWER: D
43.
![Page 46: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/46.jpg)
ANSWER: around 1.4 & 5.5
44.
![Page 47: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/47.jpg)
ANSWER: G
45.
![Page 48: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/48.jpg)
ANSWER: C
46.
![Page 49: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/49.jpg)
![Page 50: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/50.jpg)
ANSWER: C
47.
![Page 51: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/51.jpg)
ANSWER: H
48.
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49. Given the graph of f(x) below, sketch a graph of f ‘ (x). ANSWER:
![Page 53: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/53.jpg)
ANSWER: H
50.
![Page 54: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/54.jpg)
ANSWER: C
51. =?(A) (B) (C) (D) (E) (F) (G) - (H) none of these
![Page 55: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/55.jpg)
ANSWER: D
52. Find the linear approximation of f(x) = at f(0). (A) (B) y = (C) (D) (E) none of these
![Page 56: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/56.jpg)
ANSWER: A
53. Given 5x3 – 7x2 = e2t + e2. Find .(A) (B) (C) (D) (E) (F)
![Page 57: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/57.jpg)
ANSWER: G
54.
![Page 58: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/58.jpg)
ANSWER: F
55.
![Page 59: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/59.jpg)
56.
ANSWER:
![Page 60: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/60.jpg)
57. Given the graph of f ‘ (x) shown, sketch a graph that could be f(x).
ANSWER:
![Page 61: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/61.jpg)
ANSWER: E
58.
![Page 62: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/62.jpg)
ANSWER: E
59.
![Page 63: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/63.jpg)
ANSWER: H
60.
![Page 64: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/64.jpg)
ANSWER: F
61.
![Page 65: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/65.jpg)
ANSWER: B
62.
![Page 66: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/66.jpg)
63.
ANSWER:
![Page 67: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/67.jpg)
ANSWER: C
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.
![Page 68: SEMESTER 1 PRACTICE](https://reader035.vdocument.in/reader035/viewer/2022070421/56816265550346895dd2ccc6/html5/thumbnails/68.jpg)
ANSWER: 12 days
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?