Deck 6: Integrals

Question 1

Use a finite approximation to estimate the area under the graph of the given function on the stated interval as
instructed.

A) 174
B) 149
C) 165
D) 126

Answer 1

B

Question 2

Use a finite approximation to estimate the area under the graph of the given function on the stated interval as
instructed.

A) 93.75
B) 62.5
C) 10
D) 187.5

Answer 2

D

Question 3

Estimate the value of the quantity.

Answer 3

B

Question 4

Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and
evaluating the function at the midpoints of the subintervals.

Question 5

Use a finite approximation to estimate the area under the graph of the given function on the stated interval as
instructed.

A) 8.4375
B) 12.5
C) 16.875
D) 3.375

Question 6

Use a finite approximation to estimate the area under the graph of the given function on the stated interval as
instructed.

A) 69
B) 86
C) 62
D) 54

Question 7

Estimate the value of the quantity.

A) 385 ft
B) 3850 ft
C) 5800 ft
D) 3950 ft

Question 8

Estimate the value of the quantity.

A) 164 in.
B) 154 in.
C) 170 in.
D) 160 in.

Question 9

Use a finite approximation to estimate the area under the graph of the given function on the stated interval as
instructed.

A) 174
B) 126
C) 149
D) 165

Question 10

Use a finite approximation to estimate the area under the graph of the given function on the stated interval as
instructed.

Question 11

Use a finite approximation to estimate the area under the graph of the given function on the stated interval as
instructed.

A) 4.5
B) 2.5
C) 1
D) 5

Question 12

Use a finite approximation to estimate the area under the graph of the given function on the stated interval as
instructed.

Question 13

Estimate the value of the quantity.

Question 14

Use a finite approximation to estimate the area under the graph of the given function on the stated interval as
instructed.

A) )125
B) )3145
C) )625
D) )75

Question 15

Estimate the value of the quantity.

A) 164 in.
B) 154 in.
C) 328 in.
D) 169 in.

Question 16

Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and
evaluating the function at the midpoints of the subintervals.

Question 17

Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and
evaluating the function at the midpoints of the subintervals.

Question 18

Use a finite approximation to estimate the area under the graph of the given function on the stated interval as
instructed.

Question 19

Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and
evaluating the function at the midpoints of the subintervals.

Question 20

Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and
evaluating the function at the midpoints of the subintervals.

A) 173
B) 293
C) 1172
D) 58.6

Question 21

Write the sum without sigma notation and evaluate it.

Question 22

Write the sum without sigma notation and evaluate it.

Question 23

Write the sum without sigma notation and evaluate it.

Question 24

Write the sum without sigma notation and evaluate it.

Question 25

Provide an appropriate response.

Question 26

Write the sum without sigma notation and evaluate it.

Question 27

Express the sum in sigma notation.

Question 28

Provide an appropriate response.

Question 29

Provide an appropriate response.

Question 30

Estimate the value of the quantity.

A) 193.8 gallons
B) 32.3 gallons
C) 145.2 gallons
D) 253.8 gallons

Question 31

Estimate the value of the quantity.

A) 463.4 m
B) 926.8 m
C) 887.6 m
D) 443.8 m

Question 32

Write the sum without sigma notation and evaluate it.

Question 33

Write the sum without sigma notation and evaluate it.

Question 34

Write the sum without sigma notation and evaluate it.

Question 35

Estimate the value of the quantity.

A) 34.15 hours
B) 54.88 hours
C) 28.15 hours
D) -85.00 hours

Question 36

Estimate the value of the quantity.

Question 37

Write the sum without sigma notation and evaluate it.

Question 38

Provide an appropriate response.

Question 39

Estimate the value of the quantity.

A) 244 ft
B) 224 ft
C) 122 ft
D) 221 ft

Question 40

Write the sum without sigma notation and evaluate it.

Question 41

Question 42

Evaluate the sum.

A) 164
B) 59
C) 204
D) 199

Question 43

Question 44

Find the value of the specified finite sum.

A) -9
B) -7
C) 7
D) 10

Question 45

Express the sum in sigma notation.

Question 46

Express the sum in sigma notation.

Question 47

Question 48

Find the value of the specified finite sum.

A) 9
B) -19
C) -9
D) 19

Question 49

Evaluate the sum.

A) 60
B) 56
C) 51
D) 48

Question 50

Evaluate the sum.

A) 1584
B) 506
C) 1331
D) 4356

Question 51

Evaluate the sum.

Question 52

Question 53

Question 54

Question 55

Find the value of the specified finite sum.

A) -1
B) 1
C) 0
D) 25

Question 56

Find the value of the specified finite sum.

A) -21
B) 21
C) 1
D) -1

Question 57

Find the value of the specified finite sum.

A) 32
B) 4
C) -4
D) -32

Question 58

Express the sum in sigma notation.

Question 59

Express the sum in sigma notation.

Question 60

Question 61

Question 62

Express the limit as a definite integral.

Question 63

Express the limit as a definite integral.

Question 64

Find the norm of the partition P.
P = {1, 2.1, 2.5, 3.1, 4.7, 5}

A) 0.4
B) 1.1
C) 0.6
D) 1.6

Question 65

Express the limit as a definite integral.

Question 66

Express the limit as a definite integral.

Question 67

Solve the problem.

Question 68

Express the limit as a definite integral.

Question 69

Question 70

Express the limit as a definite integral.

Question 71

Question 72

Solve the problem.

Question 73

Express the limit as a definite integral.

Question 74

Express the limit as a definite integral.

Question 75

Question 76

Express the limit as a definite integral.

Question 77

Find the norm of the partition P.
P = {-3, -2.5, -0.8, 0, 0.5, 1}

A) 0.8
B) 0.5
C) 0.7
D) 1.7

Question 78

Express the limit as a definite integral.

Question 79

Question 80

Solve the problem.