Test bank for calculus and its applications 11th edition by bittinger
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Test Bank for Calculus And Its Applications 11th Edition by Bittinger
Full file A-10
at />
ANSWERS TO CHAPTER TEST FORMS
CHAPTER 1, FORM A
1. (a) 9, 9.7, 9.9, 9.99, 9.999, 9.9999;
11,10.5,10.1,10.01,10.001,10.0001
21. y =
14
x−4
3
⎛ 4 32 ⎞
22. (0,0), ⎜ , − ⎟
⎝ 3 27 ⎠
(b) 10, 10, and 10
2. (a) 10
23. 17x16
24. 2 x −3 / 4 −
25.
24
x4
26.
3 −5 / 8
x
8
3 −1/ 2
x
2
27. 1.28 x 3 − 14 x
28. 5 x 7 − 24 x 5 + 5
(b) 10
29.
3. 5
8
( x − 4)2
4. Does not exist
30. (3 − x)3 ( x + 5)2 (− 7 x − 11)
5. 1
31. − 8(6 x − 5)(6 x 2 − 10 x + 1)−5
6. Does not exist
32.
7. 3
8. 4
5 x 3 − 12
2 x 3 − 16
33. 480 x 3 − 54
9. Continuous
10. Discontinuous since lim f ( x ) does not exist for
x →a
34. (a) AR = 40, AC = x −3/4 +
a = − 6, − 4, − 2, 2, 4, 6
650
,
x
650
x
(b) Average cost is dropping at approximately
$2.90 per item.
AP = 40 − x −3/4 −
11. Does not exist
12. 2
13. No
35. (a)
14. 1
15. 1
(b)
16. Yes
dV
= 4π r 2
dr
π
6
in3
(c) π in3 /in
17. 178
36. ( f D g)( x ) = x 6 − 2 x 3 + 10;
1
18. −
9
(g D f )( x ) = x 6 + 27 x 4 + 243 x 2 + 728
19. Does not exist
37.
20. − 3(2 x + h)
− 7 x − 18
4(2 − 3 x )2 / 3 ( x + 5)3 / 4
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Test Bank for Calculus And Its Applications 11th Edition by Bittinger
Full file ANSWERS
at />TO CHAPTER TEST FORMS
CHAPTER 1, FORM A (continued)
A-11
40.
38. 12
1
4
or 0.25
39. (0.37435329, 3.0910298)
(1.8975696, − 7.910868)
CHAPTER 1, FORM B
1. (a) 5,5.7, 5.9, 5.99, 5.999, 5.9999;
7,6.5, 6.1, 6.01, 6.001, 6.0001
(b) 6, 6 and 6
12. 3
13. Yes
14. Does not exist
15. − 2
2. (a) 6
16. No
17. 2
18.
1
9
19. Does not exist
20. − 10 x − 5h
7
21. y = − x + 6
2
22. (0,0), (− 1,3)
(b) 6
23. 53y 52
3. 2
4. Does not exist
5. Does not exist
6. 1
7. 2
8. 5
9. Continuous
10. Not continuous, since lim f ( x) does not exist
x→2
24.
5 −2 / 3
+ 2 x −1/ 2
x
3
25.
22
x3
26.
2 −3 / 5
x
5
27. 0.54 x 2 − 10 x
28. 2 x 2 − 8 x + 10
11. 3
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Test Bank for Calculus And Its Applications 11th Edition by Bittinger
Full file A-12
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ANSWERS TO CHAPTER TEST FORMS
CHAPTER 1, FORM B (continued)
29.
−(15 x + 8)
x5
36. ( f D g)( x ) = x + 6 x + 5
(g D f )( x ) = 4 x + x 2 + 1
30. ( x + 2) (2 − x )(2 − 5 x )
2
31. − 20 x(3 x 2 − 2)(3 x 4 − 4 x 2 + 6)−6
32.
5 x 2 − 20 x
37.
−(25 + 44 x)
3(5 − 4 x)1/3 (5 + 4 x)3/ 4
38. 27
2 x−5
39. (0.8610,15.2837), (3.3413, − 15.6609)
33. 120x
34. (a) AR = 50, AC = x − 2/5 +
750
,
x
750
x
(b) Average cost is dropping by approximately
$5.22 per item.
AP = 50 − x −2/5 −
dW
= 1.82 − 0.1192t + 0.002274t 2
dr
(b) 26.02 lb
35. (a)
40. −
7
8
or
− 0.875
(c) 0.4112 lb/month
CHAPTER 1, FORM C
1. (a) 7, 7.7, 7.9, 7.99, 7.999, 7.9999
9, 8.5, 8.1, 8.01, 8.001, 8.0001
(b) 8, 8, and 8
7. 1
8. 6
9. Continuous
2. (a) 8
10. Not continuous since lim f ( x) ≠ f (− 3).
x →− 3
11. − 3
12. 1
13. No
14. 4
15. 4
16. Yes
17. − 49
18. − 7
(b) 8
3. Does not exist
19. Does not exist
4. 0
20. 8 x + 4h
5. Does not exist
21. y = − 2 x + 4
6. − 3
22. (− 1, 6), (1, − 6)
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Test Bank for Calculus And Its Applications 11th Edition by Bittinger
Full file ANSWERS
at />TO CHAPTER TEST FORMS
CHAPTER 1, FORM C (continued)
23. 46x 45
(b) Average cost is dropping at approximately
$1,24 per item.
dP
= 15 − 2t
dt
(b) 114 ppb
35. (a)
5
24. x −2 / 3 + x −1/ 2
3
25.
A-13
49
x8
(c) 3 ppb/hr
36. ( f D g)( x ) = 108 x 6 + 6 x 3
7
26. x 4 / 3
3
(g D f )( x ) = − 6 x 3 (3 x − 1)3 , or
− 6 x 3 (27 x 3 − 27 x 2 + 9 x − 1)
27. 18.9 x − 8 x
2
28. − 2 x 2 + 32 x + 4
29.
37.
− 2(3 x − 2)
x5
38. 12
39. (− 0.0999004, 2.04998),
(1.0313292, − 2.015982)
30. ( x + 5)4 (4 − x )(10 − 7 x )
31. − 3 x(9 x − 10)(3 x 3 − 5 x 2 + 8)−4
32.
− (12 x + 5)
5(4 − 3 x)2/5 ( x + 1)4/5
3x4 + 2
x4 + 2
33. 360 x 3 − 24
34. (a) AR = 25, AC = x −3/5 +
AP = 25 − x −3/5 −
400
,
x
400
x
40. −
1
2
or − 0.5
CHAPTER 1, FORM D
1. (a) − 9, − 8.5, − 8.1, − 8.01, − 8.001, − 8.0001;
− 7, − 7.7, − 7.9, − 7.99, − 7.999, − 7.9999
(b) − 8, − 8, and − 8
3. Does not exist
4. − 1
5. 2
2. (a) − 8
6. 0
7. Does not exist
8. 4
9. Discontinuous because lim f ( x ) for
x →a
a = − 4, − 2, 2, 4 does not exist
10. Continuous
11. − 1
12. − 1
13. Yes
14. Does not exist
(b) − 8
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Test Bank for Calculus And Its Applications 11th Edition by Bittinger
Full file atA-14
/>CHAPTER 1, FORM D (continued)
15. 1
ANSWERS TO CHAPTER TEST FORMS
33. 240x 3
34. (a) AR = 45, AC = x −1/4 +
16. No
550
x
(b) Average cost is dropping at approximately
$1.38 per item.
AP = 45 − x −1/4 −
17. 0
18.
1
24
19. Does not exist
dP
= 3600t
dt
(b) 770,000 people
35. (a)
20. 6 x + 3h − 7
21. y =
22
x−4
5
(c) 72,000 people/year
36. ( f D g)( x ) = x 2 + x + 4
22. (0,0), (1, − 1)
(g D f )( x ) = x + 4 + x + 4
23. 28x 27
3 − 8x
8(5 − 2 x )7 / 8 ( x + 6)5 / 8
24.
1 −3 / 4
− 2 x −1/ 2
x
2
37.
− 32
x9
38. 75
25.
26.
2 −5 / 7
x
7
39. (0.37260293, 1.2364915),
(1.734937, − 1.511481)
27. 8.1x 2 − 6 x
28.
1 4
x + 12 x 3 − 6
2
29.
x − 12
x3
30. ( x + 1)2 (6 − x )(16 − 5 x )
31. − 4(6 x 2 + 32 x − 3)(2 x 3 + 16 x 2 − 3 x )−5
32.
550
,
x
40.
3
or 0.60
5
4 x5 − 2 x
x4 − 1
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Test Bank for Calculus And Its Applications 11th Edition by Bittinger
Full file ANSWERS
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A-15
CHAPTER 1, FORM E
1. (a)
− 11, − 10.5, − 10.1, − 10.01, − 10.001,
21. y = − x + 6
− 10.001;
22. (0,0), (2, − 4)
− 9, − 9.7, − 9.9, − 9.99, − 9.999,
− 9.9999
(b) − 10, − 10, and − 10
23. 113 x112
24.
5 −2 / 3
x
+ 3 x −1/ 2
3
25.
− 600
x6
26.
4 −1/ 5
x
5
2. (a) − 10
27. 2.36 x 3 − 12 x
28. 3 x 3 − 10 x + 4
29.
(b) − 10
9
( x − 3)2
30. (3 − x )2 ( x + 1)2 (5 − 7 x )
3. Does not exist
31. − 8 x −9 (6 + 5 x 3 + 3 x 4 )(6 + 2 x 3 + x 4 )−5
4. Does not exist
32.
5. 1
6. − 1
4 x6 − 2
x6 − 2
33. − 180 x 2
7. Does not exist
1000
,
x
1000
AP = 25 − x − 2/3 −
x
34. (a) AR = 25, AC = x − 2/3 +
8. 1
9. Not continuous, since lim f ( x ) does not exist
x →0
10. Continuous
11. − 3
(b) Average cost is dropping at approximately
$1.60 per item.
12. − 3
35. (a)
dM
= − 0.006t 2 + 0.2t
dt
(b) 24 words
13. Yes
14. Does not exist
(c) 1.6 words/minute
15. 1
36. ( f D g)( x ) = 2 x 2 + 19 x + 45
16. No
(g D f )( x ) = 2 x 2 − x + 5
17. − 4
37.
1
18.
18
−5x − 2
2(6 − 3 x )5 / 6 ( x + 10)1/ 3
38. 48
19. Does not exist
20. 10 x + 5h − 8
CHAPTER 1, FORM E (continued)
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Test Bank for Calculus And Its Applications 11th Edition by Bittinger
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ANSWERS TO CHAPTER TEST FORMS
39. (0.54368945, 3.8638885), (1, 3)
40. 0
CHAPTER 1, FORM F ANSWERS
1. (a) − 7, − 6.5, − 6.1, − 6.01, − 6.001,
− 6.0001;
− 5, − 5.7, − 5.9, − 5.99, − 5.999,
− 5.9999
(b) −6, − 6, and − 6
13. No
14. 5
15. 5
16. Yes
17. 92
2. (a) − 6
18.
1
40
19. Does not exist
20. 8 x + 4h − 6
21. y = x + 8
⎛ 4 − 32 ⎞
22. (0, 0), ⎜ ,
⎟
⎝ 3 27 ⎠
23. 85 x84
(b) − 6
24.
3 −3 / 4
x
− x −1/ 2
2
25.
− 12
x5
26.
3 −2 / 5
x
5
3. 0
4. Does not exist
5. − 2
6. Does not exist
7. 3
27. 16.4 x 3 − 10 x
8. − 2
28. 3 x 3 + 16 x − 161
9. Not continuous, since lim f ( x ) does not exist
x →− 2
10. Continuous
29.
− 4(2 x 2 + 1)
x5
30. 2( x + 2)3 (3 − x ) (4 − 3 x )
11. Does not exist
31. − 16 x(3x − 1)(4 x3 − 2 x 2 + 5)− 5
12. 2
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Test Bank for Calculus And Its Applications 11th Edition by Bittinger
Full file ANSWERS
at />TO CHAPTER TEST FORMS
CHAPTER 1, FORM F (continued)
32.
A-17
36. ( f D g)( x ) = x 2 + 3 x
7 x 4 − 20 x
(g D f )( x ) = x + 3 x
2 x −5
3
37.
33. 480 x 3
34. (a) AR = 30, AC = x −1/3 +
400
x
−(11x + 28)
6(8 − 2 x)1/4 (4 + x)5/6
38. 3
400
AP = 30 − x −
x
(b) Average cost is dropping at
approximately $2.79 per item.
− 1/3
39. (− 1.1246, 9.3334), (0.6508, − 2.6279)
dT
= 0.34t − 1.5
dt
(b) 99.53 °F
35. (a)
(c) − 0.48 °F/hr
40. 0
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