Question 1

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 2

.

Accepted Answer

A) True 
 B)False

Question 3

The improper integral   converges for all positive values of p.

Accepted Answer

A) True 
 B)False

Question 4

Use integration by parts to find   .

Accepted Answer

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

Question 5

Find   using integration by substitution.

Accepted Answer

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

Question 6

Find an antiderivative   with   and   , given that   .

Accepted Answer

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

Question 7

What is the antiderivative of   ?

Accepted Answer

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

Question 8

The improper integral   diverges.

Accepted Answer

A) True 
 B)False

Question 9

A. Use the Fundamental Theorem to find   for a constant   .
B. Take the limit of your answer to part (A) as   to find   .

Accepted Answer

The answer of A. Use the Fundamental Theorem to find...

Question 10

Find   using integration by substitution.

Accepted Answer

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

Question 11

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 12

Use integration by parts to find   .

Accepted Answer

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

Question 13

What is the antiderivative of   ?

Accepted Answer

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

Question 14

Choose the function that would correspond to this graph of F'.

Accepted Answer

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

Question 15

Evaluate   .

Accepted Answer

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

Question 16

Supply and demand curves for a medical equipment product are given in the graph below.   a) Estimate the equilibrium price and quantity.
b) Estimate the producer surplus.
c) Estimate the total gains from trade for this piece of equipment.

Accepted Answer

a) $28,000, 14 piece

Question 17

Find an antiderivative   of   such that   .

Accepted Answer

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

Question 18

Evaluate   .

Accepted Answer

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

Question 19

The following figure shows the demand and supply curves for a product. Estimate the consumer surplus.

Accepted Answer

A) $1125 
B) $1000 
C) $400 
D) $875 
A) $1125 
B) $1000 
C) $400 
D) $875

Question 20

Suppose   and   . Estimate the value of   to 4 decimal places.

Accepted Answer

The answer of Suppose   and   ....

Evaluate .

.

The improper integral converges for all positive values of p.

Use integration by parts to find .

Find using integration by substitution.

Find an antiderivative with and , given that .

What is the antiderivative of ?

The improper integral diverges.

A. Use the Fundamental Theorem to find for a constant . B. Take the limit of your answer to part (A) as to find .

Find using integration by substitution.

Evaluate .

Use integration by parts to find .

What is the antiderivative of ?

Choose the function that would correspond to this graph of F'.

Evaluate .

Supply and demand curves for a medical equipment product are given in the graph below. a) Estimate the equilibrium price and quantity. b) Estimate the producer surplus. c) Estimate the total gains from trade for this piece of equipment.

Find an antiderivative of such that .

Evaluate .

The following figure shows the demand and supply curves for a product. Estimate the consumer surplus.

Suppose and . Estimate the value of to 4 decimal places.

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

Evaluate .

.

The improper integral converges for all positive values of p.

Use integration by parts to find .

Find using integration by substitution.

Find an antiderivative with and , given that .

What is the antiderivative of ?

The improper integral diverges.

A. Use the Fundamental Theorem to find for a constant . B. Take the limit of your answer to part (A) as to find .

Find using integration by substitution.

Evaluate .

Use integration by parts to find .

What is the antiderivative of ?

Choose the function that would correspond to this graph of F'.

Evaluate .

Supply and demand curves for a medical equipment product are given in the graph below. a) Estimate the equilibrium price and quantity. b) Estimate the producer surplus. c) Estimate the total gains from trade for this piece of equipment.

Find an antiderivative of such that .

Evaluate .

The following figure shows the demand and supply curves for a product. Estimate the consumer surplus.

Suppose and . Estimate the value of to 4 decimal places.

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