Free Printable Ch 4B Test Review

1.

a)

A

b)

B

c)

C

d)

D

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

sin x + C

b)

-sin x + C

c)

ln |sinx| + C

d)

-ln |sinx| + C

4.

∫ 2x cos(x²) dx

a)

sin(x²) + C

b)

2 sin ( 2x ) + C

c)

(1/2) sin(x²) + C

d)

4 cos(2x ) + C

5.

∫5 e^5x dx

a)

25 e^5x + C

b)

5 e^{5x - 1} + C

c)

e^5x + C

d)

(1/5) e^5x+ C

6.

What should "u" equal in this integral?

a)

x

b)

(lnx)/x

c)

lnx

d)

sin(lnx)

7.

a)

ln(2x²+6) + C

b)

ln(2x²+6)(4x) + C

c)

1/(2x²+6) + C

d)

1/(2x²+6)²+ C

8.

a)

1/3

b)

8/3

c)

16/3

d)

24/3

9.

a)

40

b)

32

c)

64

d)

Not possible

10.

a)

-½x^-2 + C

b)

-⅖x^-5/2 + C

c)

2x^1/2 + C

d)

-2x^-1/2 + C

11.

a)

-4

b)

28

c)

40

d)

20

12.

a)

0

b)

1/2

c)

-1/2

d)

1

13.

$\int_{-a}^a\ \ f\left(x\right)dx=?$

a)

10

b)

20

c)

0

d)

Not enough information

14.

$\int_{0\ }^{a\ }f\left(x\right)dx\ =?$

a)

-2

b)

2

c)

6

d)

-6

15.

$\int_{a\ }^{b\ }f\left(x\right)dx\ =?$

a)

-2

b)

2

c)

10

d)

-6

16.

$\int_0^1f\left(x\right)dx\$ is

a)

Positive

b)

Negative

c)

0

d)

Cannot be determined

17.

$\int_3^1f\left(x\right)\ dx$ is

a)

Positive

b)

Negative

c)

0

d)

Cannot be determined

18.

Match the following area with the definite integral that represents it.

a)

$\int_{-4}^4\left(4-\left|x\right|\right)dx$

b)

$2\cdot\int_0^4\left(4-\left|x\right|\right)dx$

c)

$\int_0^4\left(4-\left|x\right|\right)dx$

d)

$\int_{-4}^4\left(4-x\right)dx$

19.

Calculate $\int_2^4f\left(x\right)\ dx$

a)

1

b)

2

c)

4

d)

-4

20.

Calculate $\int_{-2}^2\ f\left(x\right)\ dx$

a)

$\pi$

b)

$2\pi$

c)

$-2\pi$

d)

$4\pi$

e)

$-\pi$

21.

Calculate $\int_{-4}^6\ f\left(x\right)\ dx$

a)

$6-2\pi$

b)

$3-\pi$

c)

$5+2\pi$

d)

$3-2\pi$

22.

R(t) represents the rate at which people enter a line, measured in people per minute. What does R'(3) = 4 represent?

a)

At t = 3 minutes, people are entering the line at a rate of 4 people per minute.

b)

At t = 3 minutes, the rate at which people are entering the line is increasing at a rate of 4 people per minute per minute.

c)

At t = 3 minutes, there are 4 people in line.

d)

At t = 4 minutes, 3 people are in line.

23.

B(t) represents the temperature of the biscuits after t minutes. What does the following notation represent?

a)

The temperature of the biscuits at 10 minutes

b)

The average temperature of the biscuits on the time interval 3 to 10 minutes.

c)

The average rate of temperature on the interval 3 to 10 minutes.

d)

The change in temperature of the biscuits on the time interval 3 to 10 minutes.

24.

B(t) represents the temperature of the biscuits after t minutes. What does the following notation represent?

a)

The temperature of the biscuits after 10 minutes.

b)

The average rate of the temperature of the biscuits on the time interval 3 to 10 minutes.

c)

The average temperature of the biscuits on the time interval 3 to 10 minutes.

d)

The temperature of the biscuits on the time interval 3 to 10 minutes.

25.

A particle travels along the x-axis. The position of the particle at t = 4 is 10. Which of the following would give you the position of the particle at t = 7?

a)

b)

c)

v(7)

d)

v(4) + v(7)

26.

A particle has a positive velocity and a negative acceleration. Which of the following is true?

a)

The speed is increasing.

b)

The speed is decreasing.

c)

The speed is neither increasing or decreasing.

d)

The particle is not moving.

27.

The rate at which the temperature outside is changing is represented by the function O(t). What does the following represent?

a)

The temperature after 12 minutes is 15 degrees.

b)

The temperature has increased 15 degrees on the time interval 5 to 12 minutes.

c)

The rate of change of temperature on the interval 5 to 12 minutes is 15.

d)

The temperature at 5 minutes is 15 degrees.

28.

H(t) represents the number of hats purchased at a store after t hours. What does the above notation represent ?

a)

The number of hats sold on the time interval 4 to 8 hours was 32.

b)

The number of hats sold at t = 8 hours was 32.

c)

The rate at which hats were sold on the interval 4 to 8 hours was 32.

d)

The number of hats sold at t = 4 hours was 32.

29.

What is the average value of f(x)= 6x²+62x-9 over (0,10)

a)

5011

b)

501.1

c)

501

d)

5010

30.

What is the derivative of the function f(x)=∫₁^2x(6e^x)dx

a)

6e^2x

b)

12e^2x

c)

6e^2x-6e^x

d)

6e^2x

Ch 4B Test Review

Total questions: 30

Worksheet time: 1hrs 25mins

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