Question 1

Use Newton's method to find the zero of   to within 0.00001 by solving the equation   using

Accepted Answer

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

Question 2

Find the dimensions of the rectangle enclosed in the semicircle   with the largest possible area.

Accepted Answer

The answer of Find the dimensions of the rectangle enclosed...

Question 3

What is the minimum vertical distance between the parabolas   and

Accepted Answer

The answer of What is the minimum vertical distance between...

Question 4

Find the dimensions of the rectangle enclosed in the semicircle   with the largest possible area.

Accepted Answer

A)    
B) 5 in.   7 in. 
C)    
D)    
A)    
B) 5 in.   7 in. 
C)    
D)

Question 5

Find the maximum area of a rectangle that can be circumscribed about a given rectangle with length   and width W

Accepted Answer

The answer of Find the maximum area of a rectangle...

Question 6

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

Accepted Answer

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

Question 7

Select the correct Answer for each question.
-Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval.

Accepted Answer

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

Question 8

A company estimates that the marginal cost (in dollars per item) of producing items is   If the cost of producing one item is $560 find the cost of producing 400 items.

Accepted Answer

The answer of A company estimates that the marginal cost...

Question 9

A baseball team plays in a stadium that holds 56,000 spectators.With ticket prices at $9, the average attendance had been 32,000.When ticket prices were lowered to $8, the average attendance rose to 36,000.How should ticket prices be set to maximize revenue? Assume the demand function is linear.

Accepted Answer

The answer of A baseball team plays in a stadium...

Question 10

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

Accepted Answer

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

Question 11

Select the correct Answer for each question.
-Sketch the graph of the function   using the curve-sketching guidelines.

Accepted Answer

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

Question 12

What is the function of the graph?

Accepted Answer

The answer of What is the function of the graph?...

Question 13

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

Accepted Answer

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

Question 14

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

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

Question 15

Find the limit.

Accepted Answer

The answer of Find the limit.  ...

Question 16

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

Accepted Answer

(a) Increasing on @#IMG-DLM& d

Question 17

Find the limit.

Accepted Answer

The answer of Find the limit.  ...

Question 18

Find two positive numbers whose product is   and whose sum is a minimum.Select the correct Answer

Accepted Answer

A)    
B) 3, 48 
C) 6, 24 
D)    
E) 2, 72 
A)    
B) 3, 48 
C) 6, 24 
D)    
E) 2, 72

Question 19

Select the correct Answer for each question.
-The function   satisfies the hypotheses of Rolle's Theorem on the interval   Find all values of   that satisfy the conclusion of the theorem.

Accepted Answer

A) 2, 4 
B) 2 
C) 3, 4 
D) 3 
A) 2, 4 
B) 2 
C) 3, 4 
D) 3

Question 20

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

Accepted Answer

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

Use Newton's method to find the zero of to within 0.00001 by solving the equation using

Find the dimensions of the rectangle enclosed in the semicircle with the largest possible area.

What is the minimum vertical distance between the parabolas and

Find the dimensions of the rectangle enclosed in the semicircle with the largest possible area.

Find the maximum area of a rectangle that can be circumscribed about a given rectangle with length and width W

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

Select the correct Answer for each question. -Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval.

A company estimates that the marginal cost (in dollars per item) of producing items is If the cost of producing one item is $560 find the cost of producing 400 items.

A baseball team plays in a stadium that holds 56,000 spectators.With ticket prices at $9, the average attendance had been 32,000.When ticket prices were lowered to $8, the average attendance rose to 36,000.How should ticket prices be set to maximize revenue? Assume the demand function is linear.

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

Select the correct Answer for each question. -Sketch the graph of the function using the curve-sketching guidelines.

What is the function of the graph?

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

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.

Find the limit.

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

Find the limit.

Find two positive numbers whose product is and whose sum is a minimum.Select the correct Answer

Select the correct Answer for each question. -The function satisfies the hypotheses of Rolle's Theorem on the interval Find all values of that satisfy the conclusion of the theorem.

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

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

Use Newton's method to find the zero of to within 0.00001 by solving the equation using

Find the dimensions of the rectangle enclosed in the semicircle with the largest possible area.

What is the minimum vertical distance between the parabolas and

Find the dimensions of the rectangle enclosed in the semicircle with the largest possible area.

Find the maximum area of a rectangle that can be circumscribed about a given rectangle with length and width W

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

Select the correct Answer for each question. -Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval.

A company estimates that the marginal cost (in dollars per item) of producing items is If the cost of producing one item is $560 find the cost of producing 400 items.

A baseball team plays in a stadium that holds 56,000 spectators.With ticket prices at $9, the average attendance had been 32,000.When ticket prices were lowered to $8, the average attendance rose to 36,000.How should ticket prices be set to maximize revenue? Assume the demand function is linear.

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

Select the correct Answer for each question. -Sketch the graph of the function using the curve-sketching guidelines.

What is the function of the graph?

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

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.

Find the limit.

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

Find the limit.

Find two positive numbers whose product is and whose sum is a minimum.Select the correct Answer

Select the correct Answer for each question. -The function satisfies the hypotheses of Rolle's Theorem on the interval Find all values of that satisfy the conclusion of the theorem.

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

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