The area of a circle is changing at a rate of 6 in2/sec At what rate is its radius changing when the radius is 5 in?

A) In/sec B) In/sec C) In/sec D) In/sec E) In/sec A) In/sec B) In/sec C) In/sec D) In/sec E) In/sec

Exam 12: Derivatives Continued

p is the price per unit in dollars and q is the number of units. If the demand and supply functions for a product are and , respectively, find the tax per unit t that will maximize the tax revenue T. Round your answer to the nearest cent.

(Multiple Choice)

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Question 121

p is in dollars and q is the number of units. Find the elasticity of the demand function at and use it to determine how a price increase will affect total revenue.

(Multiple Choice)

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Question 122

Find dy/dx at the given point without first solving for y. at

(Multiple Choice)

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Question 123

Find the derivative of the following function.

(Multiple Choice)

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Question 124

Suppose that the total cost (in dollars) for a product is given by , where x is the number of units produced. Find the marginal cost when 500 units are produced, and interpret your result. Round your answer to the nearest cent.

(Multiple Choice)

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Question 125

The area of a circle is changing at a rate of 6 in²/sec At what rate is its radius changing when the radius is 5 in?

(Multiple Choice)

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Question 126

Find if

(Multiple Choice)

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Question 127

Write the equation of the line tangent to the curve at the point .

(Multiple Choice)

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Question 128

Find the derivative of the following function.

(Multiple Choice)

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Question 129

Find the derivative of the following function.

(Multiple Choice)

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Question 130

Find if

(Multiple Choice)

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Question 131

Find for and simplify.

(Multiple Choice)

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Question 132

Suppose the demand function for a product is given by where p is in hundreds of dollars and q is the number of tons. What is the elasticity of demand when the quantity demanded is 6 tons and the price is $303? Round your answer to one decimal place.

(Multiple Choice)

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Question 133

Suppose that a boat is being pulled toward a dock by a winch that is 24 ft above the level of the boat deck. If the winch is pulling the cable at a rate of 26 ft/min, at what rate is the boat approaching the dock when it is 32 ft from the dock? Use the figure below. Round your answer to two decimal places.

(Multiple Choice)

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Question 134

Suppose that the supply of x units of a product at price p dollars per unit is given by . Find the rate of change of supply price with respect to the number of units supplied.

(Multiple Choice)

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Question 135

Find at the given point without first solving for y. at

(Multiple Choice)

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Question 136

For selected years from 1978 to 2000, the number of mutual funds N, excluding money market funds, can be modeled by where t is the number of years past 1975. Find and interpret the rate of change of the number of mutual funds in 1995. Round your answer to one decimal places.

(Multiple Choice)

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Question 137

Find any relative maxima and minima. Use a graphing utility to check your results.

(Multiple Choice)

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Question 138

Find the derivative of the following function.

(Multiple Choice)

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Question 139

Showing 121 - 139 of 139

p is the price per unit in dollars and q is the number of units. If the demand and supply functions for a product are and , respectively, find the tax per unit t that will maximize the tax revenue T. Round your answer to the nearest cent.

p is in dollars and q is the number of units. Find the elasticity of the demand function at and use it to determine how a price increase will affect total revenue.

Find dy/dx at the given point without first solving for y. at

Find the derivative of the following function.

Suppose that the total cost (in dollars) for a product is given by , where x is the number of units produced. Find the marginal cost when 500 units are produced, and interpret your result. Round your answer to the nearest cent.

The area of a circle is changing at a rate of 6 in²/sec At what rate is its radius changing when the radius is 5 in?

Find if

Write the equation of the line tangent to the curve at the point .

Find the derivative of the following function.

Find the derivative of the following function.

Find if

Find for and simplify.

Suppose the demand function for a product is given by where p is in hundreds of dollars and q is the number of tons. What is the elasticity of demand when the quantity demanded is 6 tons and the price is $303? Round your answer to one decimal place.

Suppose that the supply of x units of a product at price p dollars per unit is given by . Find the rate of change of supply price with respect to the number of units supplied.

Find at the given point without first solving for y. at

For selected years from 1978 to 2000, the number of mutual funds N, excluding money market funds, can be modeled by where t is the number of years past 1975. Find and interpret the rate of change of the number of mutual funds in 1995. Round your answer to one decimal places.

Find any relative maxima and minima. Use a graphing utility to check your results.

Find the derivative of the following function.

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

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

Exam 12: Derivatives Continued

p is the price per unit in dollars and q is the number of units. If the demand and supply functions for a product are and , respectively, find the tax per unit t that will maximize the tax revenue T. Round your answer to the nearest cent.

p is in dollars and q is the number of units. Find the elasticity of the demand function at and use it to determine how a price increase will affect total revenue. ​

Find dy/dx at the given point without first solving for y. at ​

Find the derivative of the following function. ​ ​

Suppose that the total cost (in dollars) for a product is given by , where x is the number of units produced. Find the marginal cost when 500 units are produced, and interpret your result. Round your answer to the nearest cent. ​

The area of a circle is changing at a rate of 6 in2/sec At what rate is its radius changing when the radius is 5 in? ​

Find if ​

Write the equation of the line tangent to the curve at the point . ​

Find the derivative of the following function. ​ ​

Find the derivative of the following function. ​ ​

Find if ​

Find for and simplify. ​

Suppose the demand function for a product is given by where p is in hundreds of dollars and q is the number of tons. What is the elasticity of demand when the quantity demanded is 6 tons and the price is $303? Round your answer to one decimal place. ​

Suppose that the supply of x units of a product at price p dollars per unit is given by . Find the rate of change of supply price with respect to the number of units supplied. ​

Find at the given point without first solving for y. ​ at ​

For selected years from 1978 to 2000, the number of mutual funds N, excluding money market funds, can be modeled by where t is the number of years past 1975. Find and interpret the rate of change of the number of mutual funds in 1995. Round your answer to one decimal places. ​

Find any relative maxima and minima. Use a graphing utility to check your results. ​ ​

Find the derivative of the following function. ​ ​

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

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

p is in dollars and q is the number of units. Find the elasticity of the demand function at and use it to determine how a price increase will affect total revenue.

Find dy/dx at the given point without first solving for y. at

Find the derivative of the following function.

Suppose that the total cost (in dollars) for a product is given by , where x is the number of units produced. Find the marginal cost when 500 units are produced, and interpret your result. Round your answer to the nearest cent.

The area of a circle is changing at a rate of 6 in²/sec At what rate is its radius changing when the radius is 5 in?

Find if

Write the equation of the line tangent to the curve at the point .

Find the derivative of the following function.

Find the derivative of the following function.

Find if

Find for and simplify.

Suppose the demand function for a product is given by where p is in hundreds of dollars and q is the number of tons. What is the elasticity of demand when the quantity demanded is 6 tons and the price is $303? Round your answer to one decimal place.

Suppose that the supply of x units of a product at price p dollars per unit is given by . Find the rate of change of supply price with respect to the number of units supplied.

Find at the given point without first solving for y. at

For selected years from 1978 to 2000, the number of mutual funds N, excluding money market funds, can be modeled by where t is the number of years past 1975. Find and interpret the rate of change of the number of mutual funds in 1995. Round your answer to one decimal places.

Find any relative maxima and minima. Use a graphing utility to check your results.

Find the derivative of the following function.