Deck 4: Integration

Question 1

Find the indefinite integral

A)
B)
C)
D)
E)

Answer 1

Question 2

An evergreen nursery usually sells a certain shrub after years of growth and shaping.The growth rate during those years is approximated by where t is the time in
Years and h is the height in centimeters.The seedlings are centimeters tall when planted Find the height after t years.

A)
B)
C)
D)
E)

Answer 2

Question 3

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)
B)
C)
D)
E)

Answer 3

Question 4

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)
B)
C)
D)
E)

Question 5

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)
B)
C)
D)
E)

Question 6

Find the general solution of the differential equation below and check the result by differentiation.

A)
B)
C)
D)
E)

Question 7

Find the sum given below.

A)42
B)44
C)38
D)50
E)40

Question 8

Find the indefinite integral

A)
B)
C)
D)
E)

Question 9

Find the indefinite integral and check the result by differentiation.

A)
B)
C)
D)
E)

Question 10

Find the sum given below.

A)
B)
C)
D)
E)

Question 11

Find the indefinite integral

A)
B)
C)
D)
E)

Question 12

Find the general solution of the differential equation below and check the result by differentiation.

A)
B)
C)
D)
E)

Question 13

Use sigma notation to write the sum

A)
B)
C)
D)
E)

Question 14

The rate of growth of a population of bacteria is proportional to the square root of t, where P is the population size and t is the time in days initial size of the population is After one day the population has grown to Estimate the
Population after ays.Round your answer to the nearest integer.

A) bacteria
B) bacteria
C) bacteria
D) bacteria
E)bacteria

Question 15

An evergreen nursery usually sells a certain shrub after years of growth and shaping.The growth rate during those years is approximated by where t is the time in
Years and h is the height in centimeters.The seedlings are centimeters tall when planted How tall are the shrubs when they are sold?

A)
B)
C)
D)
E)

Question 16

Find the indefinite integral

A)
B)
C)
D)
E)

Question 17

Find the indefinite integral

A)
B)
C)
D)
E)none of the above

Question 18

Find the indefinite integral

A)
B)
C)
D)
E)

Question 19

Find the indefinite integral

A)
B)
C)
D)
E)

Question 20

Find the indefinite integral

A)
B)
C)
D)
E)

Question 21

Use the properties of summation and Theorem 4.2 to evaluate the sum.

A)1156
B)1190
C)2108
D)2244
E)323

Question 22

Use the summation formulas to rewrite the expression without the summation notation.

A)
B)
C)
D)
E)

Question 23

Use the limit process to find the area of the region between the graph of the function and x-axis over the interval

A)
B)
C)
D)
E)

Question 24

Use the properties of summation and Theorem 4.2 to evaluate the sum.

A)239
B)7,656
C)7,612
D)3,861
E)7,590

Question 25

Use the properties of summation and Theorem 4.2 to evaluate the sum.

A)9,176
B)10,471
C)18,907
D)9,139
E)98,346

Question 26

Use the properties of summation and Theorem 4.2 to evaluate the sum.

A)2,156
B)64,262
C)68,057
D)258,060
E)66,033

Question 27

Find the limit.

A)20
B)18
C)36
D)80
E)40

Question 28

Use the summation formulas to rewrite the expression without the summation notation.

A)
B)
C)
D)
E)

Question 29

Use left endpoints and 12 rectangles to find the approximation of the area of the region between the graph of the function and the x-axis over the interval .Round your
Answer to four decimal places.

A)0.0419
B)0.1319
C)0.1219
D)0.0819
E)0.0119

Question 30

Find the sum given below.

A)754
B)66
C)760
D)752
E)70

Question 31

Use the properties of summation and Theorem 4.2 to evaluate the sum.

A)667
B)552
C)575
D)1311
E)391

Question 32

Use left endpoints and 10 rectangles to find the approximation of the area of the region between the graph of the function and the x-axis over the interval Round
Your answer to the nearest integer.

A)2925
B)3325
C)3000
D)3250
E)3125