Deck 4: Section 1: Integration
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Deck 4: Section 1: Integration
1
Solve the differential equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


2
The height above the ground of an object thrown upward from a point
feet above the ground with an initial velocity of
feet per second is given by the function
. A balloon, rising vertically with a velocity of
feet per second, releases a sandbag at the instant it is
feet above the ground. At what velocity will it hit the ground? Round your answer to three decimal places.
A)
ft/sec
B)
ft/sec
C)
ft/sec
D)
ft/sec
E)
ft/sec





A)

B)

C)

D)

E)


3
The height above the ground of an object thrown upward from a point
feet above the ground with an initial velocity of
feet per second is given by the function
. A balloon, rising vertically with a velocity of
feet per second, releases a sandbag at the instant it is
feet above the ground. How many seconds after its release will the bag strike the ground? Round your answer to three decimal places.
A)
seconds
B)
seconds
C)
seconds
D)
seconds
E)
seconds





A)

B)

C)

D)

E)


4
Find the general solution of the differential equation below and check the result by differentiation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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5
Find the indefinite integral
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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6
Solve the differential equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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7
Find the general solution of the differential equation below and check the result by differentiation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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8
The maker of an automobile advertises that it takes
seconds to accelerate from
kilometers per hour to
kilometers per hour. Assuming constant acceleration, compute the acceleration in meters per second per second. Round your answer to three decimal places.
A)
m/sec2
B)
m/sec2
C)
m/sec2
D)
m/sec2
E)
m/sec2



A)

B)

C)

D)

E)

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9
Find the indefinite integral
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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10
The maker of an automobile advertises that it takes
seconds to accelerate from
kilometers per hour to
kilometers per hour. Assuming constant acceleration, compute the distance, in meters, the car travels during the
seconds. Round your answer to two decimal places.
A)
m
B)
m
C)
m
D)
m
E)
m




A)

B)

C)

D)

E)

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11
Find the indefinite integral
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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12
Solve the differential equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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13
A ball is thrown vertically upwards from a height of
ft with an initial velocity of
ft per second. How high will the ball go? Note that the acceleration of the ball is given by
feet per second per second.
A)
ft
B)
ft
C)
ft
D)
ft
E)
ft



A)

B)

C)

D)

E)

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14
Find the indefinite integral
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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15
Find the indefinite integral
.
A)
B)
C)
D)
E) none of the above

A)

B)

C)

D)

E) none of the above
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16
Find the indefinite integral
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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17
Find the indefinite integral
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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18
Find the indefinite integral and check the result by differentiation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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19
Find the indefinite integral
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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