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Calculus 2nd Edition Briggs Test Bank Questions with explanations of answers | latest update 2024
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Calculus 2nd Edition Briggs Test BankFull Download: http://testbanklive.com/download/calculus-2nd-edition-briggs-test-bank/
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the average velocity of the function over the given interval.
1) y = x2 + 2x, [4, 8] 1)
A) 10 B) 14 C) 7 D) 20
2) y = 7x3 + 8x2 - 1, [-8, -4] 2)
321 321
A) 688 B) - 688 C) D) -
4 4
3) y = 2x, [2, 8] 3)
1 3
A) B) 2 C) - D) 7
3 10
3
4) y = , [4, 7] 4)
x-2
1 3
A) B) 7 C) - D) 2
3 10
7
5) y = 4x2 , 0, 5)
4
TEST BANK
1 3
A) 2 B) 7 C) D) -
3 10
6) y = -3x2 - x, [5, 6] 6)
1 1
A) -2 B) -34 C) - D)
6 2
π
7) h(t) = sin (3t), 0, 7)
6
6 3 π 6
A) B) C) D) -
π π 6 π
π π
8) g(t) = 3 + tan t, - , 8)
4 4
8 4 4
A) - B) C) - D) 0
5 π π
1
Full download all chapters instantly please go to Solutions Manual, Test Bank site: testbanklive.com
,Use the table to find the instantaneous velocity of y at the specified value of x.
9) x = 1. 9)
x y
0 0
0.2 0.02
0.4 0.08
0.6 0.18
0.8 0.32
1.0 0.5
1.2 0.72
1.4 0.98
A) 2 B) 0.5 C) 1.5 D) 1
10) x = 1. 10)
x y
0 0
0.2 0.01
0.4 0.04
0.6 0.09
0.8 0.16
1.0 0.25
1.2 0.36
1.4 0.49
A) 1 B) 1.5 C) 2 D) 0.5
11) x = 1. 11)
x y
0 0
0.2 0.12
0.4 0.48
0.6 1.08
0.8 1.92
1.0 3
1.2 4.32
1.4 5.88
A) 6 B) 8 C) 4 D) 2
2
, 12) x = 2. 12)
x y
0 10
0.5 38
1.0 58
1.5 70
2.0 74
2.5 70
3.0 58
3.5 38
4.0 10
A) 4 B) 0 C) 8 D) -8
13) x = 1. 13)
x y
0.900 -0.05263
0.990 -0.00503
0.999 -0.0005
1.000 0.0000
1.001 0.0005
1.010 0.00498
1.100 0.04762
A) 0.5 B) -0.5 C) 1 D) 0
For the given position function, make a table of average velocities and make a conjecture about the instantaneous
velocity at the indicated time.
14) s(t) = t2 + 8t - 2 at t = 2 14)
t 1.9 1.99 1.999 2.001 2.01 2.1
s(t)
A)
t 1.9 1.99 1.999 2.001 2.01 2.1 ; instantaneous velocity is 18.0
s(t) 16.810 17.880 17.988 18.012 18.120 19.210
B)
t 1.9 1.99 1.999 2.001 2.01 2.1 ; instantaneous velocity is 17.70
s(t) 16.692 17.592 17.689 17.710 17.808 18.789
C)
t 1.9 1.99 1.999 2.001 2.01 2.1 ; instantaneous velocity is ∞
s(t) 5.043 5.364 5.396 5.404 5.436 5.763
D)
t 1.9 1.99 1.999 2.001 2.01 2.1 ; instantaneous velocity is 5.40
s(t) 5.043 5.364 5.396 5.404 5.436 5.763
3
, 15) s(t) = t2 - 5 at t = 0 15)
t -0.1 -0.01 -0.001 0.001 0.01 0.1
s(t)
A)
t -0.1 -0.01 -0.001 0.001 0.01 0.1 ; instantaneous velocity is
s(t) -1.4970 -1.4999 -1.5000 -1.5000 -1.4999 -1.4970
-15.0
B)
t -0.1 -0.01 -0.001 0.001 0.01 0.1 ; instantaneous velocity is
s(t) -4.9900 -4.9999 -5.0000 -5.0000 -4.9999 -4.9900
-5.0
C)
t -0.1 -0.01 -0.001 0.001 0.01 0.1 ; instantaneous velocity is ∞
s(t) -1.4970 -1.4999 -1.5000 -1.5000 -1.4999 -1.4970
D)
t -0.1 -0.01 -0.001 0.001 0.01 0.1 ; instantaneous velocity is
s(t) -2.9910 -2.9999 -3.0000 -3.0000 -2.9999 -2.9910
-3.0
Find the slope of the curve for the given value of x.
16) y = x2 + 5x, x = 4 16)
1 4
A) slope is 13 B) slope is C) slope is - D) slope is -39
20 25
17) y = x2 + 11x - 15, x = 1 17)
1 4
A) slope is B) slope is -39 C) slope is - D) slope is 13
20 25
18) y = x3 - 7x, x = 1 18)
A) slope is -3 B) slope is -4 C) slope is 3 D) slope is 1
19) y = x3 - 2x2 + 4, x = 3 19)
A) slope is 1 B) slope is 0 C) slope is -15 D) slope is 15
20) y = -4 - x3, x = 1 20)
A) slope is 0 B) slope is -1 C) slope is -3 D) slope is 3
Solve the problem.
21) Given lim f(x) = Ll, lim f(x) = Lr, and Ll ≠ Lr, which of the following statements is true? 21)
x→0 - x→0 +
I. lim f(x) = Ll
x→0
II. lim f(x) = Lr
x→0
III. lim f(x) does not exist.
x→0
A) none B) II C) III D) I
4
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