Question 1

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

Accepted Answer

(a) decreasing on @#IMG-DLM& a

Question 2

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

Accepted Answer

A) (a) Increasing on   ,
Decreasing on
 
(b) Rel. max.   
B) (a) Increasing on  
(b) None 
C) (a) Decreasing on  
(b) None 
D) (a) Increasing on   ,
Decreasing on
 
(b) Rel. min.   
A) (a) Increasing on   ,
Decreasing on
 
(b) Rel. max.   
B) (a) Increasing on  
(b) None 
C) (a) Decreasing on  
(b) None 
D) (a) Increasing on   ,
Decreasing on
 
(b) Rel. min.

Question 3

Use the guidelines of this section to sketch the curve.   Select the graph of the curve.

Accepted Answer

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

Question 4

Find the maximum area of a rectangle that can be circumscribed about a given rectangle with length L = 8 and width W = 3.

Accepted Answer

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

Question 5

Estimate the extreme values of the function. Round the answers to the nearest hundredth.

Accepted Answer

The answer of Estimate the extreme values of the function....

Question 6

Find the maximum or minimum point(s) of the function.

Accepted Answer

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

Question 7

Find the absolute minimum value(s) of   on the interval [0, 6].

Accepted Answer

The answer of Find the absolute minimum value(s) of ...

Question 8

The function   satisfies the hypotheses of the Mean Value Theorem on the interval   . Find all values of c that satisfy the conclusion of the theorem.

Accepted Answer

A) -7 
B) -8, -6 
C) -8, -7 
D) -6 
A) -7 
B) -8, -6 
C) -8, -7 
D) -6

Question 9

Find the critical number(s), if any, of the function   .

Accepted Answer

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

Question 10

The graph below is the graph of function f on the interval   Find the absolute maximum and absolute minimum values of f (if they exist) and where they are attained.

Accepted Answer

abs. max.

Question 11

Find the critical numbers of the function.

Accepted Answer

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

Question 12

Use the guidelines of this section to sketch the curve.   Select the graph of the curve.

Accepted Answer

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

Question 13

Use Newton's method to approximate the indicated root of   in the interval   , correct to six decimal places.Use   as the initial approximation.

Accepted Answer

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

Question 14

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem.

Accepted Answer

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

Question 15

Find a cubic function   that has a local maximum value of   at 1 and a local minimum value of -1,184 at 7.

Accepted Answer

The answer of Find a cubic function   that...

Question 16

Find the most general antiderivative of the function.

Accepted Answer

The answer of Find the most general antiderivative of the...

Question 17

Determine where the graph of the function   is concave upward and where it is concave downward. Also, find all inflection points of the function.

Accepted Answer

A) CU on   , CD on
  ,
IP
  
B) CU on   , CD on
  and
 
IP
  and
  
C) CU on   , CD on
  ,
IP
  
D) CU on   , CD on
  ,
IP
  
A) CU on   , CD on
  ,
IP
  
B) CU on   , CD on
  and
 
IP
  and
  
C) CU on   , CD on
  ,
IP
  
D) CU on   , CD on
  ,
IP

Question 18

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

Accepted Answer

A) (a) Increasing on   ,
Decreasing on
 
(b) Rel. max.   
B) (a) Increasing on   ,
Decreasing on
 
(b) Rel. min.   
C) (a) Increasing on   ,
Decreasing on
 
(b) Rel. max.   
D) (a) Increasing on   ,
Decreasing on
 
(b) Rel. min.   
A) (a) Increasing on   ,
Decreasing on
 
(b) Rel. max.   
B) (a) Increasing on   ,
Decreasing on
 
(b) Rel. min.   
C) (a) Increasing on   ,
Decreasing on
 
(b) Rel. max.   
D) (a) Increasing on   ,
Decreasing on
 
(b) Rel. min.

Question 19

A farmer with 710 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?

Accepted Answer

The answer of A farmer with 710 ft of fencing...

Question 20

Find the absolute maximum and absolute minimum values, if any, of the function   on

Accepted Answer

absolute m

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

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

Use the guidelines of this section to sketch the curve. Select the graph of the curve.

Find the maximum area of a rectangle that can be circumscribed about a given rectangle with length L = 8 and width W = 3.

Estimate the extreme values of the function. Round the answers to the nearest hundredth.

Find the maximum or minimum point(s) of the function.

Find the absolute minimum value(s) of on the interval [0, 6].

The function satisfies the hypotheses of the Mean Value Theorem on the interval . Find all values of c that satisfy the conclusion of the theorem.

Find the critical number(s), if any, of the function .

The graph below is the graph of function f on the interval Find the absolute maximum and absolute minimum values of f (if they exist) and where they are attained.

Find the critical numbers of the function.

Use the guidelines of this section to sketch the curve. Select the graph of the curve.

Use Newton's method to approximate the indicated root of in the interval , correct to six decimal places.Use as the initial approximation.

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem.

Find a cubic function that has a local maximum value of at 1 and a local minimum value of -1,184 at 7.

Find the most general antiderivative of the function.

Determine where the graph of the function is concave upward and where it is concave downward. Also, find all inflection points of the function.

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

A farmer with 710 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?

Find the absolute maximum and absolute minimum values, if any, of the function on

Functions and Limits

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Integrals

Techniques of Integration

Applications of Integration

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Parametric Equations and Polar Coordinates

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Vector Calculus

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Exam 4: Applications of Differentiation

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

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

Use the guidelines of this section to sketch the curve. Select the graph of the curve.

Find the maximum area of a rectangle that can be circumscribed about a given rectangle with length L = 8 and width W = 3.

Estimate the extreme values of the function. Round the answers to the nearest hundredth.

Find the maximum or minimum point(s) of the function.

Find the absolute minimum value(s) of on the interval [0, 6].

The function satisfies the hypotheses of the Mean Value Theorem on the interval . Find all values of c that satisfy the conclusion of the theorem.

Find the critical number(s), if any, of the function .

The graph below is the graph of function f on the interval Find the absolute maximum and absolute minimum values of f (if they exist) and where they are attained.

Find the critical numbers of the function.

Use the guidelines of this section to sketch the curve. Select the graph of the curve.

Use Newton's method to approximate the indicated root of in the interval , correct to six decimal places.Use as the initial approximation.

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem.

Find a cubic function that has a local maximum value of at 1 and a local minimum value of -1,184 at 7.

Find the most general antiderivative of the function.

Determine where the graph of the function is concave upward and where it is concave downward. Also, find all inflection points of the function.

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

A farmer with 710 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?

Find the absolute maximum and absolute minimum values, if any, of the function on

Functions and Limits

Derivatives

Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

Integrals

Techniques of Integration

Applications of Integration

Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Partial Derivatives

Multiple Integrals

Vector Calculus

Filters