Question 1

Use the Trapezoidal Rule to approximate the integral using the indicated value of n.
-  Round to three decimal places.

Accepted Answer

A)  9.908 
B)  4.954 
C)  2.477 
D)  3.108 
A)  9.908 
B)  4.954 
C)  2.477 
D)  3.108 B

Question 2

Set up a definite integral that represents the shaded area.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)    A

Question 3

Solve the problem.
-The rate of flow of a continuous income stream (in thousands of dollars per day) is given by   Find the total income produced during the first thirty days of operation.

Accepted Answer

A)  $343.40 
B)  $34.34 
C)  $3433.99 
D)  $34,339.87 
A)  $343.40 
B)  $34.34 
C)  $3433.99 
D)  $34,339.87 C

Question 4

Use a graphing calculator to graph the equation over the indicated interval and find the area between the curve and the x
axis over that interval. Find the answer to two decimal places.
-

Accepted Answer

A)  8.28 
B)  10.42 
C)  2.14 
D)  -6.14 
A)  8.28 
B)  10.42 
C)  2.14 
D)  -6.14

Question 5

Find the indefinite integral using a table of integration formulas.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 6

Evaluate using integration by parts.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

Use Simpson's rule to approximate the integral using the indicated value of n (so there are 2n subintervals).
-  Write answer as whole number or reduced fraction.

Accepted Answer

A)  18 
B)  36 
C)  9 
D)  15 
A)  18 
B)  36 
C)  9 
D)  15

Question 8

Provide an appropriate response.
-Find the area (to three decimal places) bounded by   and

Accepted Answer

A)  7.676 
B)  7.0 
C)  7.555 
D)  7.333 
A)  7.676 
B)  7.0 
C)  7.555 
D)  7.333

Question 9

Solve the problem.
-Find the future value at 8% interest compounded continuously for five years for the continuous income stream with rate of flow f(t) = 560. (Round answer to the nearest dollar.)

Accepted Answer

A)  $3443 
B)  $835 
C)  $2308 
D)  $2750 
A)  $3443 
B)  $835 
C)  $2308 
D)  $2750

Question 10

Evaluate using integration by parts.
-

Accepted Answer

A)  9.48 
B)  40.2 
C)  6.70 
D)  55.2 
A)  9.48 
B)  40.2 
C)  6.70 
D)  55.2

Question 11

Provide an appropriate response.
-Find the area bounded by   and g(x) = 2x + 7. (Round answer to two decimal places.)

Accepted Answer

A)  32.65 
B)  20.83 
C)  55.83 
D)  16.13 
A)  32.65 
B)  20.83 
C)  55.83 
D)  16.13

Question 12

Use the Trapezoidal Rule to approximate the integral using the indicated value of n.
-  Round to two decimal places.

Accepted Answer

A)  1.62 
B)  1.12 
C)  1.02 
D)  1.42 
A)  1.62 
B)  1.12 
C)  1.02 
D)  1.42

Question 13

Evaluate using integration by parts.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

Find the indefinite integral using a table of integration formulas.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 15

Solve the problem.
-

Accepted Answer

A)  145.69 
B)  6.70 
C)  400.71 
D)  27.29 
A)  145.69 
B)  6.70 
C)  400.71 
D)  27.29

Question 16

Solve the problem.
-The Lorenz curve for the income distribution in a small country is given by the function   Find the Gini index of income concentration. Round the answer to three decimal places.

Accepted Answer

A)  0.474 
B)  0.143 
C)  0.263 
D)  0.35714 
A)  0.474 
B)  0.143 
C)  0.263 
D)  0.35714

Question 17

Find the producer's surplus for the following supply function at the given point.
-Find the equilibrium quantity if the price-demand equation is   , and the price-supply equation is

Accepted Answer

A)  -600, 200 
B)  200 
C)  -600 
D)  13 
A)  -600, 200 
B)  200 
C)  -600 
D)  13

Question 18

Provide an appropriate response.
-Use an integral table to find

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

Provide an appropriate response.
-Find the area lying above the x-axis and under the parabola   . (Round answers to three decimal places.)

Accepted Answer

A)  32 
B)  10.667 
C)  - 10.667 
D)  11 
A)  32 
B)  10.667 
C)  - 10.667 
D)  11

Question 20

Evaluate using integration by parts.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Use the Trapezoidal Rule to approximate the integral using the indicated value of n. - Round to three decimal places.

Set up a definite integral that represents the shaded area. -

Solve the problem. -The rate of flow of a continuous income stream (in thousands of dollars per day) is given by Find the total income produced during the first thirty days of operation.

Use a graphing calculator to graph the equation over the indicated interval and find the area between the curve and the x axis over that interval. Find the answer to two decimal places. -

Find the indefinite integral using a table of integration formulas. -

Evaluate using integration by parts. -

Provide an appropriate response. -Find the area (to three decimal places) bounded by and

Solve the problem. -Find the future value at 8% interest compounded continuously for five years for the continuous income stream with rate of flow f(t) = 560. (Round answer to the nearest dollar.)

Evaluate using integration by parts. -

Provide an appropriate response. -Find the area bounded by and g(x) = 2x + 7. (Round answer to two decimal places.)

Use the Trapezoidal Rule to approximate the integral using the indicated value of n. - Round to two decimal places.

Evaluate using integration by parts. -

Find the indefinite integral using a table of integration formulas. -

Solve the problem. -

Solve the problem. -The Lorenz curve for the income distribution in a small country is given by the function Find the Gini index of income concentration. Round the answer to three decimal places.

Find the producer's surplus for the following supply function at the given point. -Find the equilibrium quantity if the price-demand equation is , and the price-supply equation is

Provide an appropriate response. -Use an integral table to find

Provide an appropriate response. -Find the area lying above the x-axis and under the parabola . (Round answers to three decimal places.)

Evaluate using integration by parts. -

Functions and Graphs

Limits and the Derivative

Additional Derivative Topics

Graphing and Optimization

Integration

Multivariable Calculus

Trigonometric Functions

Differential Equations

Taylor Polynomials and Infinite Series

Probability and Calculus

Basic Algebra Review

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Exam 6: Additional Integration Topics

Use the Trapezoidal Rule to approximate the integral using the indicated value of n. - Round to three decimal places.

Set up a definite integral that represents the shaded area. -

Solve the problem. -The rate of flow of a continuous income stream (in thousands of dollars per day) is given by Find the total income produced during the first thirty days of operation.

Use a graphing calculator to graph the equation over the indicated interval and find the area between the curve and the x axis over that interval. Find the answer to two decimal places. -

Find the indefinite integral using a table of integration formulas. -

Evaluate using integration by parts. -

Use Simpson's rule to approximate the integral using the indicated value of n (so there are 2n subintervals). - Write answer as whole number or reduced fraction.

Provide an appropriate response. -Find the area (to three decimal places) bounded by and

Solve the problem. -Find the future value at 8% interest compounded continuously for five years for the continuous income stream with rate of flow f(t) = 560. (Round answer to the nearest dollar.)

Evaluate using integration by parts. -

Provide an appropriate response. -Find the area bounded by and g(x) = 2x + 7. (Round answer to two decimal places.)

Use the Trapezoidal Rule to approximate the integral using the indicated value of n. - Round to two decimal places.

Evaluate using integration by parts. -

Find the indefinite integral using a table of integration formulas. -

Solve the problem. -

Solve the problem. -The Lorenz curve for the income distribution in a small country is given by the function Find the Gini index of income concentration. Round the answer to three decimal places.

Find the producer's surplus for the following supply function at the given point. -Find the equilibrium quantity if the price-demand equation is , and the price-supply equation is

Provide an appropriate response. -Use an integral table to find

Provide an appropriate response. -Find the area lying above the x-axis and under the parabola . (Round answers to three decimal places.)

Evaluate using integration by parts. -

Functions and Graphs

Limits and the Derivative

Additional Derivative Topics

Graphing and Optimization

Integration

Multivariable Calculus

Trigonometric Functions

Differential Equations

Taylor Polynomials and Infinite Series

Probability and Calculus

Basic Algebra Review

Special Topics

Filters