14. Which of the following has ex³-¹as an antiderivative? A. x²x¹-1 B. 3x²x³-1 C. 3xe*¹-1 D. xex -1

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Chapter1: Functions And Models
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Can someone answer #14-#18. Thank you.

13. What is 2sinx cos x dx?
A.
2005)
+C
C.
In 2
20053
B.
+C
2sinx
D.
In 2
In 2
14. Which of the following has ex³-¹as an antiderivative?
A. x² ex¹-1
C. 3xex³-1
B. 3x²ex³-1
D. xex-1
15. What is the equation of the curve that passes through (1,3), if its slope is given by
dy = 3x² at any point x?
dx
A. y = x³ + 2
C. y = 6x + 2
D. y = 6x-2
B. y = x³ - 2
For numbers 16 to 18:
The population of Guinea pigs in a certain place increases each month exponentially. After a
month, 100 Guinea pigs were counted. After 3 months, there are 500 Guinea pigs already.
16. How many are there originally?
A. Approximately 5 Guinea pigs
B. Approximately 25 Guinea pigs
C. Approximately 45 Guinea pigs
D. Approximately 50 Guinea pigs
17. When will the population of the Guinea pigs be tripled?
In 3
A. After
months
In
In √5 month
B. After
In 3
In 3
C. After
month
In 5
In 5
D. After months
In 3
18. When will the population reach 10,000?
A. After
In √5
In(100 √5)
month
B. After
In(100,√√5)
months
In √5
C. After
D. After
In √5
In 100
In 100
In √5
month
month
2sin.x
In 2
+ C
+C
Transcribed Image Text:13. What is 2sinx cos x dx? A. 2005) +C C. In 2 20053 B. +C 2sinx D. In 2 In 2 14. Which of the following has ex³-¹as an antiderivative? A. x² ex¹-1 C. 3xex³-1 B. 3x²ex³-1 D. xex-1 15. What is the equation of the curve that passes through (1,3), if its slope is given by dy = 3x² at any point x? dx A. y = x³ + 2 C. y = 6x + 2 D. y = 6x-2 B. y = x³ - 2 For numbers 16 to 18: The population of Guinea pigs in a certain place increases each month exponentially. After a month, 100 Guinea pigs were counted. After 3 months, there are 500 Guinea pigs already. 16. How many are there originally? A. Approximately 5 Guinea pigs B. Approximately 25 Guinea pigs C. Approximately 45 Guinea pigs D. Approximately 50 Guinea pigs 17. When will the population of the Guinea pigs be tripled? In 3 A. After months In In √5 month B. After In 3 In 3 C. After month In 5 In 5 D. After months In 3 18. When will the population reach 10,000? A. After In √5 In(100 √5) month B. After In(100,√√5) months In √5 C. After D. After In √5 In 100 In 100 In √5 month month 2sin.x In 2 + C +C
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