Exam 13: A: Definite Integrals - Techniques

Consider the following supply and demand schedules, with p in dollars and x as the number of units. Use Simpson's Rule to approximate the producer's surplus at market equilibrium to 2 decimal places. Note that market equilibrium can be found from the tables.

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Question 1

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A transmission repair firm that wants to offer a lifetime warranty on its repairs has determined that the probability density function for transmission failure after repair is , where t is the number of months after repair. What is the probability that a transmission chosen at random will last more than 4 months? Round to 3 decimal places.

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Question 2

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Use integration by parts to evaluate the integral

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Question 3

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Evaluate the improper integral if it converges, or state that it diverges.

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Question 4

A continuous income stream has an annual rate of flow at time t given by (dollars per year). Find the present value of this income stream for the next 9 years, if the money is worth 4% compounded continuously. Round to the nearest dollar.

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Question 5

With the data for selected years from 1920 to 2007, the life span of individuals in a country can be modeled by where x = 0 represents 1900. Find the predicted average life span from 2040 to 2055. Round your answer to the nearest year.

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Question 6

For the interval [3,15] and n = 4, find the values of

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Question 7

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.

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Question 8

Evaluate the integral .

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Question 9

Evaluate the definite integral .

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Question 10

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.

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Question 11

Evaluate the improper integral if it converges, or state that it diverges.

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Question 12

Find the area of the shaded region.

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Question 13

In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from for 2004 to for 2005. Find the Gini coefficient of income for both years. Round your answer to six decimal places.

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Question 14

The demand function for a product is and the supply function is , where p is the number of dollars and x is the number of units. Find the consumer's surplus there. Round to the nearest cent.

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Question 15

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.

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Question 16

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

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Question 17

Evaluate the definite integral .

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Question 18

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?

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Question 19

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

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Question 20

Showing 1 - 20 of 370

Consider the following supply and demand schedules, with p in dollars and x as the number of units. Use Simpson's Rule to approximate the producer's surplus at market equilibrium to 2 decimal places. Note that market equilibrium can be found from the tables.

Use integration by parts to evaluate the integral

Evaluate the improper integral if it converges, or state that it diverges.

A continuous income stream has an annual rate of flow at time t given by (dollars per year). Find the present value of this income stream for the next 9 years, if the money is worth 4% compounded continuously. Round to the nearest dollar.

With the data for selected years from 1920 to 2007, the life span of individuals in a country can be modeled by where x = 0 represents 1900. Find the predicted average life span from 2040 to 2055. Round your answer to the nearest year.

For the interval [3,15] and n = 4, find the values of

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.

Evaluate the integral .

Evaluate the definite integral .

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.

Evaluate the improper integral if it converges, or state that it diverges.

Find the area of the shaded region.

In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from for 2004 to for 2005. Find the Gini coefficient of income for both years. Round your answer to six decimal places.

The demand function for a product is and the supply function is , where p is the number of dollars and x is the number of units. Find the consumer's surplus there. Round to the nearest cent.

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.

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

Evaluate the definite integral .

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?

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

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Quadratic and Other Special Functions

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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

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Exam 13: A: Definite Integrals - Techniques

Consider the following supply and demand schedules, with p in dollars and x as the number of units. Use Simpson's Rule to approximate the producer's surplus at market equilibrium to 2 decimal places. Note that market equilibrium can be found from the tables. ​

Use integration by parts to evaluate the integral ​

Evaluate the improper integral if it converges, or state that it diverges. ​ ​

A continuous income stream has an annual rate of flow at time t given by (dollars per year). Find the present value of this income stream for the next 9 years, if the money is worth 4% compounded continuously. Round to the nearest dollar. ​

With the data for selected years from 1920 to 2007, the life span of individuals in a country can be modeled by where x = 0 represents 1900. Find the predicted average life span from 2040 to 2055. Round your answer to the nearest year. ​

For the interval [3,15] and n = 4, find the values of ​

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. ​

Evaluate the integral . ​

Evaluate the definite integral . ​

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. ​

Evaluate the improper integral if it converges, or state that it diverges. ​

Find the area of the shaded region. ​ ​

In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from for 2004 to for 2005. Find the Gini coefficient of income for both years. Round your answer to six decimal places. ​

The demand function for a product is and the supply function is , where p is the number of dollars and x is the number of units. Find the consumer's surplus there. Round to the nearest cent. ​

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. ​

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

Evaluate the definite integral . ​

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? ​

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

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

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Consider the following supply and demand schedules, with p in dollars and x as the number of units. Use Simpson's Rule to approximate the producer's surplus at market equilibrium to 2 decimal places. Note that market equilibrium can be found from the tables.

Use integration by parts to evaluate the integral

Evaluate the improper integral if it converges, or state that it diverges.

A continuous income stream has an annual rate of flow at time t given by (dollars per year). Find the present value of this income stream for the next 9 years, if the money is worth 4% compounded continuously. Round to the nearest dollar.

With the data for selected years from 1920 to 2007, the life span of individuals in a country can be modeled by where x = 0 represents 1900. Find the predicted average life span from 2040 to 2055. Round your answer to the nearest year.

For the interval [3,15] and n = 4, find the values of

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.

Evaluate the integral .

Evaluate the definite integral .

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.

Evaluate the improper integral if it converges, or state that it diverges.

Find the area of the shaded region.

In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from for 2004 to for 2005. Find the Gini coefficient of income for both years. Round your answer to six decimal places.

The demand function for a product is and the supply function is , where p is the number of dollars and x is the number of units. Find the consumer's surplus there. Round to the nearest cent.

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.

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

Evaluate the definite integral .

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?

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