Question 1

Find the antiderivative of   , where a and b are constants.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 2

Which of the following is equivalent to   ?

Accepted Answer

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B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 3

Which of the following is equivalent to   ?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 4

Evaluate   . Round to 2 decimal places.

Accepted Answer

The answer of Evaluate   . Round to 2...

Question 5

Find   using integration by substitution.

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C)    
D)    
A)    
B)    
C)    
D)

Question 6

Find the indefinite integral   .

Accepted Answer

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D)    
A)    
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C)    
D)

Question 7

You are considering buying a salt water chlorinator for your swimming pool. The equipment costs $1300, and you estimate that you will save $250 per year with the saltwater system. Will the chlorinator pay for itself in 6 years (i.e. will the present value of the cost of the chemicals equal or exceed the cost of the chlorinator)? Assume an annual interest rate of 7%, compounded continuously. Answer "yes" or "no".

Accepted Answer

The answer of You are considering buying a salt water...

Question 8

Find   using integration by substitution.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

The following graph represents the rate of change of a function f with respect to x; i.e., it is the graph of   , with   . Which of the following are true at x = 1.8? (Check all that apply.)

Accepted Answer

A) f is concave up 
B) f is concave down 
C) f is increasing 
D) f is decreasing 
A) f is concave up 
B) f is concave down 
C) f is increasing 
D) f is decreasing

Question 10

Use integration by parts to find   .

Accepted Answer

The answer of Use integration by parts to find ...

Question 11

Find the indefinite integral   , where k is a constant.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

At what constant, continuous annual rate should you deposit money into an account if you want to have $1,000,000 in 20 years? The account earns 5% interest, compounded continuously. Round to the nearest dollar.

Accepted Answer

The answer of At what constant, continuous annual rate should...

Question 13

The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

Given the following graph of   and the fact that   , find   .

Accepted Answer

The answer of Given the following graph of  ...

Question 15

This figure shows the rate of change of F.   Given that F(0) = 2, sketch the graph of F.

Accepted Answer

The answer of This figure shows the rate of change...

Question 16

Supply and demand data are given in the following tables.     What is the equilibrium price?

Accepted Answer

The answer of Supply and demand data are given in...

Question 17

Supply and demand curves for an item of medical equipment are shown in the graph below. In order to compete with a new product by a rival company, the price is temporarily lowered to $20,000. What is the reduction (from equilibrium) in producer surplus that results from this artificially low price?

Accepted Answer

A) The producer surplus is reduced by $ 48,000. 
B) The producer surplus is reduced by $ 59,000 
C) The producer surplus is unaffected. 
D) The producer surplus is reduced by $ 36,000 
A) The producer surplus is reduced by $ 48,000. 
B) The producer surplus is reduced by $ 59,000 
C) The producer surplus is unaffected. 
D) The producer surplus is reduced by $ 36,000

Question 18

The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

Supply and demand curves for a product are shown in the following figure. Estimate the equilibrium quantity.

Accepted Answer

The answer of Supply and demand curves for a product...

Question 20

The following figure shows the graph of   . If   , find   .

Accepted Answer

The answer of The following figure shows the graph of...

Find the antiderivative of , where a and b are constants.

Which of the following is equivalent to ?

Which of the following is equivalent to ?

Evaluate . Round to 2 decimal places.

Find using integration by substitution.

Find the indefinite integral .

Find using integration by substitution.

The following graph represents the rate of change of a function f with respect to x; i.e., it is the graph of , with . Which of the following are true at x = 1.8? (Check all that apply.)

Use integration by parts to find .

Find the indefinite integral , where k is a constant.

At what constant, continuous annual rate should you deposit money into an account if you want to have $1,000,000 in 20 years? The account earns 5% interest, compounded continuously. Round to the nearest dollar.

The supply and demand curves for a product have equations and , respectively, with equilibrium at . Suppose an artificially high price of is imposed, with the resulting consumer demand of . Which of the following is a formula for the change in total gains from trade caused by the artificial price?

Given the following graph of and the fact that , find .

This figure shows the rate of change of F. Given that F(0) = 2, sketch the graph of F.

Supply and demand data are given in the following tables. What is the equilibrium price?

Supply and demand curves for an item of medical equipment are shown in the graph below. In order to compete with a new product by a rival company, the price is temporarily lowered to $20,000. What is the reduction (from equilibrium) in producer surplus that results from this artificially low price?

The supply and demand curves for a product have equations and , respectively, with equilibrium at . Which of the following is a formula for consumer surplus?

Supply and demand curves for a product are shown in the following figure. Estimate the equilibrium quantity.

The following figure shows the graph of . If , find .

Functions and Change

Rate of Change: the Derivative

Shortcuts to Differentiation

Using the Derivative

Accumulated Change: the Definite Integral

Probability

Functions of Several Variables

Mathematical Modeling Using Differential Equations

Geometric Series

Filters

Exam 6: Antiderivatives and Applications

Find the antiderivative of , where a and b are constants.

Which of the following is equivalent to ?

Which of the following is equivalent to ?

Evaluate . Round to 2 decimal places.

Find using integration by substitution.

Find the indefinite integral .

Find using integration by substitution.

The following graph represents the rate of change of a function f with respect to x; i.e., it is the graph of , with . Which of the following are true at x = 1.8? (Check all that apply.)

Use integration by parts to find .

Find the indefinite integral , where k is a constant.

At what constant, continuous annual rate should you deposit money into an account if you want to have $1,000,000 in 20 years? The account earns 5% interest, compounded continuously. Round to the nearest dollar.

The supply and demand curves for a product have equations and , respectively, with equilibrium at . Suppose an artificially high price of is imposed, with the resulting consumer demand of . Which of the following is a formula for the change in total gains from trade caused by the artificial price?

Given the following graph of and the fact that , find .

This figure shows the rate of change of F. Given that F(0) = 2, sketch the graph of F.

Supply and demand data are given in the following tables. What is the equilibrium price?

Supply and demand curves for an item of medical equipment are shown in the graph below. In order to compete with a new product by a rival company, the price is temporarily lowered to $20,000. What is the reduction (from equilibrium) in producer surplus that results from this artificially low price?

The supply and demand curves for a product have equations and , respectively, with equilibrium at . Which of the following is a formula for consumer surplus?

Supply and demand curves for a product are shown in the following figure. Estimate the equilibrium quantity.

The following figure shows the graph of . If , find .

Functions and Change

Rate of Change: the Derivative

Shortcuts to Differentiation

Using the Derivative

Accumulated Change: the Definite Integral

Probability

Functions of Several Variables

Mathematical Modeling Using Differential Equations

Geometric Series

Filters