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 11: Derivatives Continued

The demand functions for specialty steel products are given, where p is in dollars and q is the number of units demanded. Find the interval in which the demand is elastic. Round your answer to two decimal places.

(Multiple Choice)

4.9/5

(83)

Question 41

Find the derivative of the following function.

(Multiple Choice)

4.8/5

(86)

Question 42

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)

4.7/5

(74)

Question 43

Find .

(Multiple Choice)

4.7/5

(75)

Question 44

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 function.

(Multiple Choice)

4.8/5

(78)

Question 45

For the given equation, find the slope of the tangent to the curve at the point . Round your answer to two decimal places.

(Multiple Choice)

5.0/5

(86)

Question 46

Find .

(Multiple Choice)

4.8/5

(68)

Question 47

If , find .

(Multiple Choice)

4.9/5

(87)

Question 48

Find dy/dx for the following equation: .

(Multiple Choice)

4.7/5

(77)

Question 49

Total personal income in the U.S. (in billions of dollars) for selected years from 1960 to 2002 is given in the following table. These data can be modeled by , where x is the number of years past 1960. Use the data to find the average rate of change from 2000 to 2002, which can be used to approximate the rate of change in 2002. Round your answer to the nearest ten million dollar.

(Multiple Choice)

4.8/5

(78)

Question 50

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)

4.7/5

(76)

Question 51

At what x-value does the curve defined by have a horizontal tangent?

(Multiple Choice)

4.9/5

(81)

Question 52

The demand function for specialty steel products are given, where p is in dollars and q is the number of units demanded. Find the point at which the demand is of unitary elasticity. Round your answer to two decimal places.

(Multiple Choice)

4.9/5

(78)

Question 53

If , find .

(Multiple Choice)

4.8/5

(78)

Question 54

Which of the following functions has the same derivative as the function below?

(Multiple Choice)

4.8/5

(74)

Question 55

If , find .

(Multiple Choice)

4.8/5

(78)

Question 56

Suppose that the demand for a product is given by . Find the elasticity when and also determine how would revenue be affected by a price increase?

(Multiple Choice)

4.9/5

(87)

Question 57

Suppose the proportion P of people affected by a certain disease is described by , where t is the time in months. Find , the rate at which P grows.

(Multiple Choice)

4.9/5

(68)

Question 58

p is the price per unit in dollars and q is the number of units. The monthly demand function is and the supply function before taxation is Find what tax per item will maximize the total revenue and use this to find the maximum tax revenue.

(Multiple Choice)

4.8/5

(85)

Question 59

Suppose that the price p (in dollars) of a product is given by the demand function where x represents the quantity demanded. If the daily demand is increase at a rate of 5 units per day, at what rate is the price changing when the demand is 64 units? Round your answer to two decimal places.

(Multiple Choice)

4.9/5

(81)

Question 60

Showing 41 - 60 of 139

The demand functions for specialty steel products are given, where p is in dollars and q is the number of units demanded. Find the interval in which the demand is elastic. Round your answer to two decimal places.

Find the derivative of the following function.

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 .

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 function.

For the given equation, find the slope of the tangent to the curve at the point . Round your answer to two decimal places.

Find .

If , find .

Find dy/dx for the following equation: .

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.

At what x-value does the curve defined by have a horizontal tangent?

The demand function for specialty steel products are given, where p is in dollars and q is the number of units demanded. Find the point at which the demand is of unitary elasticity. Round your answer to two decimal places.

If , find .

Which of the following functions has the same derivative as the function below?

If , find .

Suppose that the demand for a product is given by . Find the elasticity when and also determine how would revenue be affected by a price increase?

Suppose the proportion P of people affected by a certain disease is described by , where t is the time in months. Find , the rate at which P grows.

p is the price per unit in dollars and q is the number of units. The monthly demand function is and the supply function before taxation is Find what tax per item will maximize the total revenue and use this to find the maximum tax revenue.

Suppose that the price p (in dollars) of a product is given by the demand function where x represents the quantity demanded. If the daily demand is increase at a rate of 5 units per day, at what rate is the price changing when the demand is 64 units? Round your answer to two decimal places.

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

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 4

Algebraic Concepts 5

Filters

Exam 11: Derivatives Continued

The demand functions for specialty steel products are given, where p is in dollars and q is the number of units demanded. Find the interval in which the demand is elastic. Round your answer to two decimal places. ​ ​

Find the derivative of the following function. ​ ​

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 . ​ ​

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 function. ​

For the given equation, find the slope of the tangent to the curve at the point . Round your answer to two decimal places. ​ ​

Find . ​ ​

If , find . ​

Find dy/dx for the following equation: ​ . ​

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. ​

At what x-value does the curve defined by have a horizontal tangent? ​

The demand function for specialty steel products are given, where p is in dollars and q is the number of units demanded. Find the point at which the demand is of unitary elasticity. Round your answer to two decimal places. ​ ​

If , find .

Which of the following functions has the same derivative as the function below? ​ ​

If , find .

Suppose that the demand for a product is given by . Find the elasticity when and also determine how would revenue be affected by a price increase? ​

Suppose the proportion P of people affected by a certain disease is described by , where t is the time in months. Find , the rate at which P grows. ​ ​

p is the price per unit in dollars and q is the number of units. The monthly demand function is and the supply function before taxation is Find what tax per item will maximize the total revenue and use this to find the maximum tax revenue. ​

Suppose that the price p (in dollars) of a product is given by the demand function where x represents the quantity demanded. If the daily demand is increase at a rate of 5 units per day, at what rate is the price changing when the demand is 64 units? Round your answer to two decimal places. ​

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

Indefinite Integrals

Definite Integrals - Techniques

A: Definite Integrals - Techniques

Functions of Two or More Variables

Algebraic Concepts 2

Algebraic Concepts 3

Algebraic Concepts 4

Algebraic Concepts 5

Filters

The demand functions for specialty steel products are given, where p is in dollars and q is the number of units demanded. Find the interval in which the demand is elastic. Round your answer to two decimal places.

Find the derivative of the following function.

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 .

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 function.

For the given equation, find the slope of the tangent to the curve at the point . Round your answer to two decimal places.

Find .

If , find .

Find dy/dx for the following equation: .

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.

At what x-value does the curve defined by have a horizontal tangent?

The demand function for specialty steel products are given, where p is in dollars and q is the number of units demanded. Find the point at which the demand is of unitary elasticity. Round your answer to two decimal places.

Which of the following functions has the same derivative as the function below?

Suppose that the demand for a product is given by . Find the elasticity when and also determine how would revenue be affected by a price increase?

Suppose the proportion P of people affected by a certain disease is described by , where t is the time in months. Find , the rate at which P grows.

p is the price per unit in dollars and q is the number of units. The monthly demand function is and the supply function before taxation is Find what tax per item will maximize the total revenue and use this to find the maximum tax revenue.

Suppose that the price p (in dollars) of a product is given by the demand function where x represents the quantity demanded. If the daily demand is increase at a rate of 5 units per day, at what rate is the price changing when the demand is 64 units? Round your answer to two decimal places.