Exam 14: Definite Integrals: Techniques of Integration

The cost of producing x units of a certain item is Find the average value of the cost function C(x) over the interval from 0 to 1,000. Round answer to nearest penny.

(Multiple Choice)

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Question 41

Use Simpson's Rule to approximate with n = 6. Round your answer to two decimal places.

(Multiple Choice)

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Question 42

Use formulas or numerical integration with a graphing calculator or computer to evaluate the given definite integral. Round answer to three decimal places.

(Multiple Choice)

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Question 43

Use integration by parts to evaluate the integral .

(Multiple Choice)

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Question 44

Use integration by parts to evaluate .

(Multiple Choice)

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Question 45

Find the area of the region bounded by

(Multiple Choice)

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Question 46

Evaluate the definite integral .

(Multiple Choice)

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Question 47

If the supply function for x units of a commodity is dollars, what is the producer's surplus at ? Round your answer to two decimal places.

(Multiple Choice)

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Question 48

The demand function for a product is , where p is the number of dollars and x is the number of units. If the equilibrium price is $40, what is the consumer's surplus?

(Multiple Choice)

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Question 49

Assume that the tax burden per capita (in dollars) for selected years from 1950 to 2002 can be modeled by where represents 1950. If the model remains valid, find the predicted average federal tax burden per capita from 2000 to 2010. Round your answer to the nearest dollar.

(Multiple Choice)

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Question 50

Suppose the income from an Internet access business is a continuous income stream with annual rate of flow given by in thousands of dollars per year. Find the total income over the next 20 years.

(Multiple Choice)

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Question 51

Use Simpson's Rule to approximate with n = 6. Round your answer to two decimal places.

(Multiple Choice)

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Question 52

Approximate the area under the curve defined by the function over the interval x = 0 to x = 3 using the left-hand endpoints of three subintervals (rectangles).

(Multiple Choice)

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Question 53

Use integration by parts to evaluate the integral

(Multiple Choice)

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Question 54

Evaluate the definite integral .

(Multiple Choice)

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Question 55

Suppose the Gini coefficient of income for a certain country is If the Lorenz curve for this country is , find the value of p.

(Multiple Choice)

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Question 56

Approximate the given integral by using the Trapezoidal Rule with n = 4. Round your answer to 3 decimal places.

(Multiple Choice)

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Question 57

Market revenue for Hammer Inc. (in millions of dollars per year) can be modeled by , where represents 1990. Evaluate . Round your answer to the nearest cent.

(Multiple Choice)

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Question 58

Use rectangles to find the area between and the x-axis from to

(Multiple Choice)

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Question 59

Find the area between the curve and the x-axis from to .

(Multiple Choice)

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Question 60

Showing 41 - 60 of 185

The cost of producing x units of a certain item is Find the average value of the cost function C(x) over the interval from 0 to 1,000. Round answer to nearest penny.

Use Simpson's Rule to approximate with n = 6. Round your answer to two decimal places.

Use formulas or numerical integration with a graphing calculator or computer to evaluate the given definite integral. Round answer to three decimal places.

Use integration by parts to evaluate the integral .

Use integration by parts to evaluate .

Find the area of the region bounded by

Evaluate the definite integral .

If the supply function for x units of a commodity is dollars, what is the producer's surplus at ? Round your answer to two decimal places.

The demand function for a product is , where p is the number of dollars and x is the number of units. If the equilibrium price is $40, what is the consumer's surplus?

Assume that the tax burden per capita (in dollars) for selected years from 1950 to 2002 can be modeled by where represents 1950. If the model remains valid, find the predicted average federal tax burden per capita from 2000 to 2010. Round your answer to the nearest dollar.

Suppose the income from an Internet access business is a continuous income stream with annual rate of flow given by in thousands of dollars per year. Find the total income over the next 20 years.

Use Simpson's Rule to approximate with n = 6. Round your answer to two decimal places.

Approximate the area under the curve defined by the function over the interval x = 0 to x = 3 using the left-hand endpoints of three subintervals (rectangles).

Use integration by parts to evaluate the integral

Evaluate the definite integral .

Suppose the Gini coefficient of income for a certain country is If the Lorenz curve for this country is , find the value of p.

Approximate the given integral by using the Trapezoidal Rule with n = 4. Round your answer to 3 decimal places.

Market revenue for Hammer Inc. (in millions of dollars per year) can be modeled by , where represents 1990. Evaluate . Round your answer to the nearest cent.

Use rectangles to find the area between and the x-axis from to

Find the area between the curve and the x-axis from to .

Algebraic Concepts

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Functions of Two or More Variables

Filters

Exam 14: Definite Integrals: Techniques of Integration

The cost of producing x units of a certain item is Find the average value of the cost function C(x) over the interval from 0 to 1,000. Round answer to nearest penny. ​

Use Simpson's Rule to approximate with n = 6. Round your answer to two decimal places. ​

Use formulas or numerical integration with a graphing calculator or computer to evaluate the given definite integral. Round answer to three decimal places. ​ ​

Use integration by parts to evaluate the integral . ​

Use integration by parts to evaluate . ​

Find the area of the region bounded by ​

Evaluate the definite integral . ​

If the supply function for x units of a commodity is dollars, what is the producer's surplus at ? Round your answer to two decimal places. ​

The demand function for a product is , where p is the number of dollars and x is the number of units. If the equilibrium price is $40, what is the consumer's surplus? ​

Assume that the tax burden per capita (in dollars) for selected years from 1950 to 2002 can be modeled by where represents 1950. If the model remains valid, find the predicted average federal tax burden per capita from 2000 to 2010. Round your answer to the nearest dollar. ​

Suppose the income from an Internet access business is a continuous income stream with annual rate of flow given by in thousands of dollars per year. Find the total income over the next 20 years. ​

Use Simpson's Rule to approximate with n = 6. Round your answer to two decimal places. ​

Approximate the area under the curve defined by the function over the interval x = 0 to x = 3 using the left-hand endpoints of three subintervals (rectangles). ​

Use integration by parts to evaluate the integral ​

Evaluate the definite integral . ​

Suppose the Gini coefficient of income for a certain country is If the Lorenz curve for this country is , find the value of p. ​

Approximate the given integral by using the Trapezoidal Rule with n = 4. Round your answer to 3 decimal places. ​

Market revenue for Hammer Inc. (in millions of dollars per year) can be modeled by , where represents 1990. Evaluate . Round your answer to the nearest cent. ​

Use rectangles to find the area between and the x-axis from to ​

Find the area between the curve and the x-axis from to . ​

Algebraic Concepts

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Functions of Two or More Variables

Filters

The cost of producing x units of a certain item is Find the average value of the cost function C(x) over the interval from 0 to 1,000. Round answer to nearest penny.

Use Simpson's Rule to approximate with n = 6. Round your answer to two decimal places.

Use formulas or numerical integration with a graphing calculator or computer to evaluate the given definite integral. Round answer to three decimal places.

Use integration by parts to evaluate the integral .

Use integration by parts to evaluate .

Find the area of the region bounded by

Evaluate the definite integral .

If the supply function for x units of a commodity is dollars, what is the producer's surplus at ? Round your answer to two decimal places.

The demand function for a product is , where p is the number of dollars and x is the number of units. If the equilibrium price is $40, what is the consumer's surplus?

Assume that the tax burden per capita (in dollars) for selected years from 1950 to 2002 can be modeled by where represents 1950. If the model remains valid, find the predicted average federal tax burden per capita from 2000 to 2010. Round your answer to the nearest dollar.

Suppose the income from an Internet access business is a continuous income stream with annual rate of flow given by in thousands of dollars per year. Find the total income over the next 20 years.

Use Simpson's Rule to approximate with n = 6. Round your answer to two decimal places.

Approximate the area under the curve defined by the function over the interval x = 0 to x = 3 using the left-hand endpoints of three subintervals (rectangles).

Use integration by parts to evaluate the integral

Evaluate the definite integral .

Suppose the Gini coefficient of income for a certain country is If the Lorenz curve for this country is , find the value of p.

Approximate the given integral by using the Trapezoidal Rule with n = 4. Round your answer to 3 decimal places.

Market revenue for Hammer Inc. (in millions of dollars per year) can be modeled by , where represents 1990. Evaluate . Round your answer to the nearest cent.

Use rectangles to find the area between and the x-axis from to

Find the area between the curve and the x-axis from to .