Evaluate the integral. 1/6 1) t2 dt 1 A) 648 D) - 1 B) 648 648

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
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2413 HW wk 12A
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Evaluate the integral.
1/6
1)
t2 dt
1)
1
A).
648
B) 648
C) -
648
D)
6.
6
(3x2 + x + 5) dx
2)
2)
A) 119
B) 518
C) 47
D) 264
Use a definite integral to find an expression that represents the area of the region between the given curve and the x-axis
on the interval [0, b].
3) y = 9x2
3)
А) -18b
В) ЗЬ3
C) -3b3
D) 18b
4) у %3D6х
A) -3b2
4)
B) 6b
-6b
D) 3b2
Find the average value of the function over the given interval.
5) f(x) = 2x + 6 on [-3,3]
A) 12
5)
В) 3
C) 6
D) 36
6) y = x2 - 3x + 2; [0, 4]
6)
A) 6
В)
C) 0
D
7) y = 5 - x2; [-5, 4]
A) -
7)
16
196
46
В)
27
C) - 2
D)
27
Evaluate the integral.
8)
(x + 2)3 dx
8)
609
625
A) 63
B)
4
C) 609
D)
4
4
+ 1
dt
9)
9)
B)
92
77
A) 32
72
D) ·
Transcribed Image Text:Name 2413 HW wk 12A MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the integral. 1/6 1) t2 dt 1) 1 A). 648 B) 648 C) - 648 D) 6. 6 (3x2 + x + 5) dx 2) 2) A) 119 B) 518 C) 47 D) 264 Use a definite integral to find an expression that represents the area of the region between the given curve and the x-axis on the interval [0, b]. 3) y = 9x2 3) А) -18b В) ЗЬ3 C) -3b3 D) 18b 4) у %3D6х A) -3b2 4) B) 6b -6b D) 3b2 Find the average value of the function over the given interval. 5) f(x) = 2x + 6 on [-3,3] A) 12 5) В) 3 C) 6 D) 36 6) y = x2 - 3x + 2; [0, 4] 6) A) 6 В) C) 0 D 7) y = 5 - x2; [-5, 4] A) - 7) 16 196 46 В) 27 C) - 2 D) 27 Evaluate the integral. 8) (x + 2)3 dx 8) 609 625 A) 63 B) 4 C) 609 D) 4 4 + 1 dt 9) 9) B) 92 77 A) 32 72 D) ·
TT/2
10)
3 sin x dx
10)
A) 1
В) 0
C) 3
D) -3
Зп/4
11)
4 sec 0 tan 0 do
11)
-T/4
A) 0
B) -42
C) -8V2
D) 4/2
Find the derivative.
dt
12) y =
12)
5t + 6
- 5
A)
(5x + 6)2 36
1
B)
5x + 6
- 5
D)
(5x + 6)2
5
1
1
5x + 6
13) у %3D
V6t +7 dt
13)
B) (6x
C) V6x +7- 7
D) V6x +7
A)
6х + 7
(6x + 7)3/2
14) 음
+3
sin t dt
14)
dx
A) 3x2 sin (x³)
B) x+ sin (x3)
D) sin (x3)
C) -cos (x3) - 1
tan x
15) у %3
Vi dt
15)
A) sec x tan3/2 x
B) Vtan x
tan3/2 x
D) sec2 xtan x
sin t
d.
1
16)
du
16)
25 - u2
1
cos t
A)
cos t (25 - sin2 t)
B)
25 - sin? t
cos t
1
25 - sin? t
25 - sin? t
Transcribed Image Text:TT/2 10) 3 sin x dx 10) A) 1 В) 0 C) 3 D) -3 Зп/4 11) 4 sec 0 tan 0 do 11) -T/4 A) 0 B) -42 C) -8V2 D) 4/2 Find the derivative. dt 12) y = 12) 5t + 6 - 5 A) (5x + 6)2 36 1 B) 5x + 6 - 5 D) (5x + 6)2 5 1 1 5x + 6 13) у %3D V6t +7 dt 13) B) (6x C) V6x +7- 7 D) V6x +7 A) 6х + 7 (6x + 7)3/2 14) 음 +3 sin t dt 14) dx A) 3x2 sin (x³) B) x+ sin (x3) D) sin (x3) C) -cos (x3) - 1 tan x 15) у %3 Vi dt 15) A) sec x tan3/2 x B) Vtan x tan3/2 x D) sec2 xtan x sin t d. 1 16) du 16) 25 - u2 1 cos t A) cos t (25 - sin2 t) B) 25 - sin? t cos t 1 25 - sin? t 25 - sin? t
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage