_4. Which of the following is not a separable differential equation? dy dy y = 0 dxy = e* A. 2 А. = xy С. dx dx В. dy = 2 cos x D. 1 - dx

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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4.
Which of the following is not a separable differential equation?
dy
А.
= xy
dx
dy
y = 0
2
dx
dy
В.
= 2 cos x
dy
1
y = e*
_5. If y = ax"+1,n # -2, then which of the following is equal to ſ ydx?
D.
dx
dx
axn+1
+ C
n+1
А.
axn+1
С.
+ C
n+2
axn+2
В.
+ C
D.
axn+2
+ C
n+1
n+2
_6. Which of the following is a particular solution to the differential equation
dy
8.
dx
when x = e5 and y = 10?
In|x|
А. у 3
C. y = In|8x| – 30
D. y = 8 n|x| – 30
- 30
8
B. y = 8 In|x| + C
-
7. Using integration by substitution in S x³(x6 – 2)³dx, what is du?
А. х5dx
В. бх5dx
С. (х6 — 2)dx
D. x5(x6 – 2)³dx
cos*x
_8.
If S(cos³x · B) dx
+ C, what is the B?
= -
А. —sin x
С. — сos x
В.
cSC X
1
D.
secx
_9. Which of the following is equal to Seºdt?
А. ее
В. ее + с
С. ееx + С
D. eet + C
10. What should be the value of A so that ſ A · sin (6x²) dx = –
cos(6x²)
+ С,?
А. х
В. 2х
С. Зх
D. 4x
Transcribed Image Text:4. Which of the following is not a separable differential equation? dy А. = xy dx dy y = 0 2 dx dy В. = 2 cos x dy 1 y = e* _5. If y = ax"+1,n # -2, then which of the following is equal to ſ ydx? D. dx dx axn+1 + C n+1 А. axn+1 С. + C n+2 axn+2 В. + C D. axn+2 + C n+1 n+2 _6. Which of the following is a particular solution to the differential equation dy 8. dx when x = e5 and y = 10? In|x| А. у 3 C. y = In|8x| – 30 D. y = 8 n|x| – 30 - 30 8 B. y = 8 In|x| + C - 7. Using integration by substitution in S x³(x6 – 2)³dx, what is du? А. х5dx В. бх5dx С. (х6 — 2)dx D. x5(x6 – 2)³dx cos*x _8. If S(cos³x · B) dx + C, what is the B? = - А. —sin x С. — сos x В. cSC X 1 D. secx _9. Which of the following is equal to Seºdt? А. ее В. ее + с С. ееx + С D. eet + C 10. What should be the value of A so that ſ A · sin (6x²) dx = – cos(6x²) + С,? А. х В. 2х С. Зх D. 4x
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