Question 1

Find

Accepted Answer

A)    
B)    
C)    
D)    
E) None of these 
A)    
B)    
C)    
D)    
E) None of these C

Question 2

A rectangular storage container with an open top is to have a volume of 10   The length of its base is twice the width.Material for the base costs $12 per square meter.Material for the sides costs $5 per square meter.Find the cost of materials for the cheapest such container.

Accepted Answer

$153.9

Question 3

The quantity demanded per month of an item is related to the unit price by the demand equation   where   is measured in dollars and x is measured in units of a thousand.How many items must be sold by the manufacturer to maximize its revenue? Hint: Recall that the revenue is given by

Accepted Answer

5,000

Question 4

A skydiver leaps from a helicopter hovering high above the ground.Her velocity   sec later and before deploying her parachute is given by   where   is measured in meters per second.What is her terminal velocity? Hint: Evaluate

Accepted Answer

A) 54 m/sec 
B) 8.1 m/sec 
C) 87 m/sec 
D) 62.1 m/sec 
A) 54 m/sec 
B) 8.1 m/sec 
C) 87 m/sec 
D) 62.1 m/sec

Question 5

Given   (a) Find the intervals on which   is increasing or decreasing.(b) Find the relative maxima and relative minima of

Accepted Answer

A) (a) Increasing on   decreasing on   and   (b) Rel.max.   rel.min.   
B) (a) Increasing on   and   decreasing on   and   (b) Rel.max.   rel.min.   
C) (a) Increasing on   and   decreasing on   and   (b) Rel.max.   rel.min.   
D) (a) Increasing on   and   decreasing on   (b) Rel.max.   rel.min.   
A) (a) Increasing on   decreasing on   and   (b) Rel.max.   rel.min.   
B) (a) Increasing on   and   decreasing on   and   (b) Rel.max.   rel.min.   
C) (a) Increasing on   and   decreasing on   and   (b) Rel.max.   rel.min.   
D) (a) Increasing on   and   decreasing on   (b) Rel.max.   rel.min.

Question 6

Find the critical number(s), if any, of the function   Select the correct Answer

Accepted Answer

A)    
B) 5 
C)    
D) 5 and   
A)    
B) 5 
C)    
D) 5 and

Question 7

Select the correct Answer for each question.
-Given   (a) Find the intervals on which   is increasing or decreasing.(b) Find the relative maxima and relative minima of

Accepted Answer

A) (a) Increasing on   decreasing on   and   (b) Rel.max.   rel.min.   
B) (a) Increasing on   and   decreasing on   and   (b) Rel.max.   rel.min.   
C) (a) Increasing on   and   decreasing on   and   (b) Rel.max.   rel.min.   
D) (a) Increasing on   and   decreasing on   (b) Rel.max.   rel.min.   
A) (a) Increasing on   decreasing on   and   (b) Rel.max.   rel.min.   
B) (a) Increasing on   and   decreasing on   and   (b) Rel.max.   rel.min.   
C) (a) Increasing on   and   decreasing on   and   (b) Rel.max.   rel.min.   
D) (a) Increasing on   and   decreasing on   (b) Rel.max.   rel.min.

Question 8

Sketch the graph of the function   using the curve-sketching guidelines.

Accepted Answer

The answer of Sketch the graph of the function ...

Question 9

Evaluate the limit using l'Hôpital's Rule.

Accepted Answer

The answer of Evaluate the limit using l'Hôpital's Rule. ...

Question 10

A rectangular storage container with an open top is to have a volume of   The length of its base is twice the width.Material for the base costs $12 per square meter.Material for the sides costs $5 per square meter.Find the cost of materials for the cheapest such container.

Accepted Answer

The answer of A rectangular storage container with an open...

Question 11

Use Newton's method to approximate the zero of   between   and   using   Continue until two successive approximations differ by less than 0.00001.

Accepted Answer

The answer of Use Newton's method to approximate the zero...

Question 12

For what values of c does the curve have maximum and minimum points?

Accepted Answer

The answer of For what values of c does the...

Question 13

A car braked with a constant deceleration of   producing skid marks measuring 60 ft before coming to a stop.How fast was the car traveling when the brakes were first applied?

Accepted Answer

The answer of A car braked with a constant deceleration...

Question 14

Find   Select the correct Answer

Accepted Answer

A)    
B)    
C)    
D)    
E) None of these 
A)    
B)    
C)    
D)    
E) None of these

Question 15

Evaluate the limit.Select the correct Answer

Accepted Answer

A)    
B) 1 
C) 0 
D) 2 
A)    
B) 1 
C) 0 
D) 2

Question 16

Find the critical number(s), if any, of the function   Select the correct Answer

Accepted Answer

A)    
B) 5 
C)    and   
D) 5 and   
A)    
B) 5 
C)    and   
D) 5 and

Question 17

Find the critical number(s), if any, of the function   Select the correct Answer

Accepted Answer

A)    
B) -3 
C)    
D)    
A)    
B) -3 
C)    
D)

Question 18

Find the critical numbers of the function.

Accepted Answer

The answer of Find the critical numbers of the function....

Question 19

Find the limit.

Accepted Answer

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

Question 20

A manufacturer has been selling 1,200 television sets a week at $400 each.A market survey indicates that for each $30 rebate offered to the buyer, the number of sets sold will increase by 60 per week.Find the demand function.

Accepted Answer

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

Find

A rectangular storage container with an open top is to have a volume of 10 The length of its base is twice the width.Material for the base costs $12 per square meter.Material for the sides costs $5 per square meter.Find the cost of materials for the cheapest such container.

The quantity demanded per month of an item is related to the unit price by the demand equation where is measured in dollars and x is measured in units of a thousand.How many items must be sold by the manufacturer to maximize its revenue? Hint: Recall that the revenue is given by

A skydiver leaps from a helicopter hovering high above the ground.Her velocity sec later and before deploying her parachute is given by where is measured in meters per second.What is her terminal velocity? Hint: Evaluate

Given (a) Find the intervals on which is increasing or decreasing.(b) Find the relative maxima and relative minima of

Find the critical number(s), if any, of the function Select the correct Answer

Select the correct Answer for each question. -Given (a) Find the intervals on which is increasing or decreasing.(b) Find the relative maxima and relative minima of

Sketch the graph of the function using the curve-sketching guidelines.

Evaluate the limit using l'Hôpital's Rule.

A rectangular storage container with an open top is to have a volume of The length of its base is twice the width.Material for the base costs $12 per square meter.Material for the sides costs $5 per square meter.Find the cost of materials for the cheapest such container.

Use Newton's method to approximate the zero of between and using Continue until two successive approximations differ by less than 0.00001.

For what values of c does the curve have maximum and minimum points?

A car braked with a constant deceleration of producing skid marks measuring 60 ft before coming to a stop.How fast was the car traveling when the brakes were first applied?

Find Select the correct Answer

Evaluate the limit.Select the correct Answer

Find the critical number(s), if any, of the function Select the correct Answer

Find the critical number(s), if any, of the function Select the correct Answer

Find the critical numbers of the function.

Find the limit.

A manufacturer has been selling 1,200 television sets a week at $400 each.A market survey indicates that for each $30 rebate offered to the buyer, the number of sets sold will increase by 60 per week.Find the demand function.

Functions and Models

Limits and Derivatives

Differentiation Rules

Integrals

Applications of Integration

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

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Exam 4: Applications of Differentiation

Find

A rectangular storage container with an open top is to have a volume of 10 The length of its base is twice the width.Material for the base costs $12 per square meter.Material for the sides costs $5 per square meter.Find the cost of materials for the cheapest such container.

The quantity demanded per month of an item is related to the unit price by the demand equation where is measured in dollars and x is measured in units of a thousand.How many items must be sold by the manufacturer to maximize its revenue? Hint: Recall that the revenue is given by

A skydiver leaps from a helicopter hovering high above the ground.Her velocity sec later and before deploying her parachute is given by where is measured in meters per second.What is her terminal velocity? Hint: Evaluate

Given (a) Find the intervals on which is increasing or decreasing.(b) Find the relative maxima and relative minima of

Find the critical number(s), if any, of the function Select the correct Answer

Select the correct Answer for each question. -Given (a) Find the intervals on which is increasing or decreasing.(b) Find the relative maxima and relative minima of

Sketch the graph of the function using the curve-sketching guidelines.

Evaluate the limit using l'Hôpital's Rule.

A rectangular storage container with an open top is to have a volume of The length of its base is twice the width.Material for the base costs $12 per square meter.Material for the sides costs $5 per square meter.Find the cost of materials for the cheapest such container.

Use Newton's method to approximate the zero of between and using Continue until two successive approximations differ by less than 0.00001.

For what values of c does the curve have maximum and minimum points?

A car braked with a constant deceleration of producing skid marks measuring 60 ft before coming to a stop.How fast was the car traveling when the brakes were first applied?

Find Select the correct Answer

Evaluate the limit.Select the correct Answer

Find the critical number(s), if any, of the function Select the correct Answer

Find the critical number(s), if any, of the function Select the correct Answer

Find the critical numbers of the function.

Find the limit.

A manufacturer has been selling 1,200 television sets a week at $400 each.A market survey indicates that for each $30 rebate offered to the buyer, the number of sets sold will increase by 60 per week.Find the demand function.

Functions and Models

Limits and Derivatives

Differentiation Rules

Integrals

Applications of Integration

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters