Exam 13: A: Definite Integrals - Techniques

The Lorenz curve for the income distribution in a certain country in 2005 is given by . Find the Gini coefficient of income for 2005 for this country. Round your answer to four decimal places.

(Multiple Choice)

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Question 321

Suppose that a vending machine service company models its income by assuming that money flows continuously into the machines, with the annual rate of flow given by in thousands of dollars per year. Find the total income from the machines predicted by the model over the first 5 years. Round your answer to the nearest thousand dollars.

(Multiple Choice)

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Question 322

For what value of c does ?

(Multiple Choice)

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Question 323

Use integration by parts to evaluate the integral

(Multiple Choice)

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Question 324

Suppose the marginal cost for x units of a good is (dollars per unit) and if the fixed cost is $200. What is the total cost of producing 4 units of this good? Round your answer to the nearest dollar.

(Multiple Choice)

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Question 325

The supply function for a good is , where p is the number of dollars and x is the number of units. If the equilibrium price is $27 what is the producer's surplus at the equilibrium price? Round to the nearest cent.

(Multiple Choice)

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Question 326

Determine the most appropriate method or integral formula for evaluating the given integral. Next, evaluate the integral. I. Integration by parts II. III. IV.

(Multiple Choice)

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Question 327

Suppose that a vending machine service company models its income by assuming that money flows continuously into the machines, with the annual rate of flow given by in thousands of dollars per year. Find the total income from the machines predicted by the model over the first 5 years. Round your answer to the nearest thousand dollars.

(Multiple Choice)

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Question 328

Use integration by parts to evaluate .

(Multiple Choice)

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Question 329

A small brewery considers the output of its bottling machine as a continuous income stream with an annual rate of flow at time t given by in thousands of dollars per year. Find the income from this stream for the next 30 years. Round your answer to the nearest dollar.

(Multiple Choice)

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Question 330

Find the area of the shaded region for the graph given below.

(Multiple Choice)

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Question 331

Evaluate the integral .

(Multiple Choice)

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Question 332

Suppose the Lorenz curve for the distribution of income of a certain country is given by Find the Gini coefficient of income. Round your answer to three decimal places.

(Multiple Choice)

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Question 333

In a manufacturing process involving several machines, the average down time t (in hours) for a machine that needs repair has the probability density function . Find the probability that a failed machine's down time is 4 hours or more. Round your answer to three decimal places.

(Multiple Choice)

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Question 334

Use integration by parts to evaluate the integral

(Multiple Choice)

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Question 335

Suppose that the Carter Car Service franchise finds that the income generated by its stores can be modeled by assuming that the income is a continuous stream with a monthly rate of flow at time t given by (dollars per month). Find the total income from a Carter Car Service store for years 3 through 5 of operation and round to the nearest penny.

(Multiple Choice)

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Question 336

The rate of depreciation of a building is given by dollars per year, . Use the definite integral to find the total depreciation over the first 20 years.

(Multiple Choice)

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Question 337

Use an integral formula to evaluate .

(Multiple Choice)

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Question 338

Find the area of the shaded region for the graph given below.

(Multiple Choice)

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Question 339

If the demand function for a product is and the supply function is where p is in millions of dollars and x is the number of thousands of units. Find the consumer's surplus. Round your answer to the nearest million dollars.

(Multiple Choice)

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Question 340

Showing 321 - 340 of 370

The Lorenz curve for the income distribution in a certain country in 2005 is given by . Find the Gini coefficient of income for 2005 for this country. Round your answer to four decimal places.

For what value of c does ?

Use integration by parts to evaluate the integral

Suppose the marginal cost for x units of a good is (dollars per unit) and if the fixed cost is $200. What is the total cost of producing 4 units of this good? Round your answer to the nearest dollar.

The supply function for a good is , where p is the number of dollars and x is the number of units. If the equilibrium price is $27 what is the producer's surplus at the equilibrium price? Round to the nearest cent.

Determine the most appropriate method or integral formula for evaluating the given integral. Next, evaluate the integral. I. Integration by parts II. III. IV.

Use integration by parts to evaluate .

A small brewery considers the output of its bottling machine as a continuous income stream with an annual rate of flow at time t given by in thousands of dollars per year. Find the income from this stream for the next 30 years. Round your answer to the nearest dollar.

Find the area of the shaded region for the graph given below.

Evaluate the integral .

Suppose the Lorenz curve for the distribution of income of a certain country is given by Find the Gini coefficient of income. Round your answer to three decimal places.

In a manufacturing process involving several machines, the average down time t (in hours) for a machine that needs repair has the probability density function . Find the probability that a failed machine's down time is 4 hours or more. Round your answer to three decimal places.

Use integration by parts to evaluate the integral

The rate of depreciation of a building is given by dollars per year, . Use the definite integral to find the total depreciation over the first 20 years.

Use an integral formula to evaluate .

Find the area of the shaded region for the graph given below.

If the demand function for a product is and the supply function is where p is in millions of dollars and x is the number of thousands of units. Find the consumer's surplus. Round your answer to the nearest million dollars.

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 and Data Description

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

Functions of Two or More Variables

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Exam 13: A: Definite Integrals - Techniques

The Lorenz curve for the income distribution in a certain country in 2005 is given by . Find the Gini coefficient of income for 2005 for this country. Round your answer to four decimal places. ​

For what value of c does ? ​

Use integration by parts to evaluate the integral ​

Suppose the marginal cost for x units of a good is (dollars per unit) and if the fixed cost is $200. What is the total cost of producing 4 units of this good? Round your answer to the nearest dollar. ​

The supply function for a good is , where p is the number of dollars and x is the number of units. If the equilibrium price is $27 what is the producer's surplus at the equilibrium price? Round to the nearest cent. ​

Determine the most appropriate method or integral formula for evaluating the given integral. Next, evaluate the integral. ​ I. Integration by parts II. III. IV.

Use integration by parts to evaluate . ​

A small brewery considers the output of its bottling machine as a continuous income stream with an annual rate of flow at time t given by in thousands of dollars per year. Find the income from this stream for the next 30 years. Round your answer to the nearest dollar. ​

Find the area of the shaded region for the graph given below.

Evaluate the integral . ​

Suppose the Lorenz curve for the distribution of income of a certain country is given by Find the Gini coefficient of income. Round your answer to three decimal places. ​

In a manufacturing process involving several machines, the average down time t (in hours) for a machine that needs repair has the probability density function . Find the probability that a failed machine's down time is 4 hours or more. Round your answer to three decimal places. ​

Use integration by parts to evaluate the integral ​

The rate of depreciation of a building is given by dollars per year, . Use the definite integral to find the total depreciation over the first 20 years. ​

Use an integral formula to evaluate . ​

Find the area of the shaded region for the graph given below. ​ ​

If the demand function for a product is and the supply function is where p is in millions of dollars and x is the number of thousands of units. Find the consumer's surplus. Round your answer to the nearest million dollars. ​​

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 and Data Description

Derivatives

Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 4

Algebraic Concepts 5

Filters

The Lorenz curve for the income distribution in a certain country in 2005 is given by . Find the Gini coefficient of income for 2005 for this country. Round your answer to four decimal places.

For what value of c does ?

Use integration by parts to evaluate the integral

Suppose the marginal cost for x units of a good is (dollars per unit) and if the fixed cost is $200. What is the total cost of producing 4 units of this good? Round your answer to the nearest dollar.

The supply function for a good is , where p is the number of dollars and x is the number of units. If the equilibrium price is $27 what is the producer's surplus at the equilibrium price? Round to the nearest cent.

Determine the most appropriate method or integral formula for evaluating the given integral. Next, evaluate the integral. I. Integration by parts II. III. IV.

Use integration by parts to evaluate .

A small brewery considers the output of its bottling machine as a continuous income stream with an annual rate of flow at time t given by in thousands of dollars per year. Find the income from this stream for the next 30 years. Round your answer to the nearest dollar.

Evaluate the integral .

Suppose the Lorenz curve for the distribution of income of a certain country is given by Find the Gini coefficient of income. Round your answer to three decimal places.

In a manufacturing process involving several machines, the average down time t (in hours) for a machine that needs repair has the probability density function . Find the probability that a failed machine's down time is 4 hours or more. Round your answer to three decimal places.

Use integration by parts to evaluate the integral

The rate of depreciation of a building is given by dollars per year, . Use the definite integral to find the total depreciation over the first 20 years.

Use an integral formula to evaluate .

Find the area of the shaded region for the graph given below.

If the demand function for a product is and the supply function is where p is in millions of dollars and x is the number of thousands of units. Find the consumer's surplus. Round your answer to the nearest million dollars.