Test Bank for Thomas Calculus Early Transcendentals 14th Edition Hass

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,Thomas Calculus Early Transcendentals 14th Edition Hass Test Bank

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the average rate of change of the function over the given interval.
1) y = x2 + 9x, [1, 8]
63 136
A) 17 B) C) D) 18
4 7
Answer: D

2) y = 5x3 - 8x2 - 3, [-9, 5]
4718 211 422
A) 337 B) C) D)
5 7 5
Answer: A

3) y = 2x, [2, 8]
1 3
A) 7 B) C) 2 D) -
3 10
Answer: B

3
4) y = , [4, 7]
x-2
3 1
A) 7 B) 2 C) - D)
10 3
Answer: C

7
5) y = 4x2, 0,
4
3 1
A) - B) 2 C) 7 D)
10 3
Answer: C

6) y = -3x2 - x, [5, 6]
1 1
A) B) - C) -2 D) -34
2 6
Answer: D

π
7) h(t) = sin (5t), 0,
10
10 5 10 π
A) B) C) - D)
π π π 10
Answer: A

π π
8) g(t) = 4 + tan t, - ,
4 4
3 4 4
A) - B) 0 C) - D)
2 π π
Answer: D




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,Find the slope of the curve at the given point P and an equation of the tangent line at P.
9) y = x2 + 5x, P(4, 36)
1 x 1
A) slope is ;y= + B) slope is -39; y = -39x - 80
20 20 5
4 4x 8
C) slope is - ;y=- + D) slope is 13; y = 13x - 16
25 25 5
Answer: D

10) y = x2 + 11x - 15, P(1, -3)
4 4x 8
A) slope is - ;y=- + B) slope is -39; y = -39x - 80
25 25 5
1 x 1
C) slope is 13; y = 13x - 16 D) slope is ;y= +
20 20 5
Answer: C

11) y = x3 - 8x, P(1, -7)
A) slope is -5; y = -5x - 2 B) slope is -5; y = -5x
C) slope is 3; y = 3x - 10 D) slope is 3; y = 3x - 6
Answer: A

12) y = x3 - 2x2 + 4, P(1, 3)
A) slope is -1; y = -1x + 3 B) slope is 0; y = 4
C) slope is -1; y = -1x + 4 D) slope is 1; y = x + 4
Answer: C

13) y = 4 - x3 , (1, 3)
A) slope is -1; y = -x + 6 B) slope is 0; y = 6
C) slope is -3; y = -3x + 6 D) slope is 3; y = 3x + 6
Answer: C

Use the slopes of UQ, UR, US, and UT to estimate the rate of change of y at the specified value of x.
14) x = 5

y

5 U


4

T
3


2
S

1
R
Q
1 2 3 4 5 6 x


A) 0 B) 5 C) 1 D) 2
Answer: D

2

, 15) x = 3

y
6 U

5

4 T


3
S
2
R
1
Q

1 2 3 x



A) 2 B) 6 C) 0 D) 4
Answer: D

16) x = 5

y

7
U
6

5

4 T

3
S
2

1 R
Q

1 2 3 4 5 6 x



5 5 25
A) B) C) D) 0
4 2 4
Answer: B




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