Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
PLEASE ANSWER ALL NUMBERS
![3.
Which of the following is an antiderivative of 8x³?
A. 2x4 + x
В. 2х4
С. 2(х* — 1)
D. 2x(x³ – 1)
- x
-
4.
Which of the following is not a separable differential equation?
dy
А.
= xy
dx
dy
С.
y = 0
dx
2
dy
В.
= 2 cos x
dy
D.
dx
1
dx
y = e*
_5. If y
ахh+1
1, n ± –2, then which of the following is equal to ſ ydx?
axn+1
+ C
А.
axn+1
С.
+ C
n+2
n+1
axn+2
+ C
В.
axn+2
D.
+ C
n+1
n+2
6.
Which of the following is a particular solution to the differential equation
8
dx
when x = e³ and y = 10?
In]x|
A. y =
C. y = In|8x| – 30
D. y = 8 In|x| – 30
30
B. y = 8 In|x|+ C
_7. Using integration by substitution in S x5(x° – 2)³dx, what is du?
А. х5dx
В. бх5 dx
С. (х6 — 2)dx
D. x5(x6 – 2)³dx
cos*x
_8. If S(cos³x · B) dx = –
+ C, what is the B?
4
А. — sin x
С. — сos х
1
В.
1
D.
cscx
secx
Which of the following is equal to Seºdt?
А. ее
В. ее + С
9.
С. ееx + С
D. eet + C
10. What should be the value of A so that ſ A · sin (6x²) dx =
cos(6x²)
+ C,?
А. х
В. 2х
С. Зх
D. 4x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9687371f-04be-4d38-a1ef-21640077df04%2F93414b7b-2ed0-4b9f-bfeb-cb4a02d185aa%2Fz0r6a3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.
Which of the following is an antiderivative of 8x³?
A. 2x4 + x
В. 2х4
С. 2(х* — 1)
D. 2x(x³ – 1)
- x
-
4.
Which of the following is not a separable differential equation?
dy
А.
= xy
dx
dy
С.
y = 0
dx
2
dy
В.
= 2 cos x
dy
D.
dx
1
dx
y = e*
_5. If y
ахh+1
1, n ± –2, then which of the following is equal to ſ ydx?
axn+1
+ C
А.
axn+1
С.
+ C
n+2
n+1
axn+2
+ C
В.
axn+2
D.
+ C
n+1
n+2
6.
Which of the following is a particular solution to the differential equation
8
dx
when x = e³ and y = 10?
In]x|
A. y =
C. y = In|8x| – 30
D. y = 8 In|x| – 30
30
B. y = 8 In|x|+ C
_7. Using integration by substitution in S x5(x° – 2)³dx, what is du?
А. х5dx
В. бх5 dx
С. (х6 — 2)dx
D. x5(x6 – 2)³dx
cos*x
_8. If S(cos³x · B) dx = –
+ C, what is the B?
4
А. — sin x
С. — сos х
1
В.
1
D.
cscx
secx
Which of the following is equal to Seºdt?
А. ее
В. ее + С
9.
С. ееx + С
D. eet + C
10. What should be the value of A so that ſ A · sin (6x²) dx =
cos(6x²)
+ C,?
А. х
В. 2х
С. Зх
D. 4x
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