Question 1

Let     and   .Find the rule for the function

Accepted Answer

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

Question 2

Find function f such that     and

Accepted Answer

The answer of Find function f such that  ...

Question 3

Evaluate h (2), where       h (2) = __________

Accepted Answer

The answer of Evaluate h (2), where   ...

Question 4

Find the one-sided limit.

Accepted Answer

The answer of Find the one-sided limit.  ...

Question 5

Determine whether the equation defines y as a linear function of x.Answer yes or no.

Accepted Answer

The answer of Determine whether the equation defines y as...

Question 6

Use the graph of the function f to determine   and   .

Accepted Answer

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

Question 7

A rectangular box is to have a square base and a volume of 20   .The material for the base costs   , the material for the sides costs   , and the material for the top costs   .Letting x denote the length of one side of the base, find a function in the variable x giving the cost of constructing the box.

Accepted Answer

The answer of A rectangular box is to have a...

Question 8

Find the indicated one-sided limit.

Accepted Answer

The answer of Find the indicated one-sided limit.  ...

Question 9

Find f (a + h) - f (a) for the function f (x) = 8x + 5.Simplify your answer.

Accepted Answer

A) 5a + 8h 
B) 5h + 8 
C) 8a-8h 
D) 8h + 5 
E) 8h 
A) 5a + 8h 
B) 5h + 8 
C) 8a-8h 
D) 8h + 5 
E) 8h

Question 10

TMI, a manufacturer of blank audiocassette tapes, has a monthly fixed cost of $13,100 and a variable cost of $0.40/tape.Find a function C that gives the total cost incurred by TMI in the manufacture of x tapes/month.

Accepted Answer

The answer of TMI, a manufacturer of blank audiocassette tapes,...

Question 11

Find the limit, if it exists.Otherwise, answer no solution.

Accepted Answer

The answer of Find the limit, if it exists.Otherwise, answer...

Question 12

Let   ,   .Find the rule for the function

Accepted Answer

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

Question 13

A division of Chapman Corporation manufactures a pager.The weekly fixed cost for the division is $15,000, and the variable cost for producing x pagers/week is   dollars.The company realizes a revenue of   dollars from the sale of x pagers/week. What is the profit for the company if 2,000 units are produced and sold each week?

Accepted Answer

A) $152,000 
B) $142,000 
C) $147,000 
D) $137,000 
E) $157,000 
A) $152,000 
B) $142,000 
C) $147,000 
D) $137,000 
E) $157,000

Question 14

Find the indicated limit.

Accepted Answer

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

Question 15

In the following figure,   gives the population   of a certain bacteria culture at time t after a portion of bactericide A was introduced into the population at   .The graph of g gives the population   of a similar bacteria culture at time t after a portion of bactericide B was introduced into the population at   .   Which population is decreasing faster at   and at   ?

Accepted Answer

A) The populations are decreasing at the same rate at   ,
  is decreasing faster at
  
B)    is decreasing faster at   ,
  is decreasing faster at
  
C)    is decreasing faster at   , the populations are decreasing at the same rate at
  
D)    is decreasing faster at   ,
  is decreasing faster at
  
A) The populations are decreasing at the same rate at   ,
  is decreasing faster at
  
B)    is decreasing faster at   ,
  is decreasing faster at
  
C)    is decreasing faster at   , the populations are decreasing at the same rate at
  
D)    is decreasing faster at   ,
  is decreasing faster at

Question 16

The following graph shows the ratio of bachelor's degrees earned by women to men from 1960 through 1990.How fast was the ratio changing in the period from 1960 to 1980? From 1980 to 1990?

Accepted Answer

A) 0.0235/yr from 1960 through 1980 0.006/yr from 1980 through 1990 
B) 0.47/yr from 1960 through 1980 0.06/yr from 1980 through 1990 
C) 0.047/yr from 1960 through 1980 0.006/yr from 1980 through 1990 
D) 0.235/yr from 1960 through 1980 0.06/yr from 1980 through 1990 
E) 0.047/yr from 1960 through 1980 0.012/yr from 1980 through 1990 
A) 0.0235/yr from 1960 through 1980 0.006/yr from 1980 through 1990 
B) 0.47/yr from 1960 through 1980 0.06/yr from 1980 through 1990 
C) 0.047/yr from 1960 through 1980 0.006/yr from 1980 through 1990 
D) 0.235/yr from 1960 through 1980 0.06/yr from 1980 through 1990 
E) 0.047/yr from 1960 through 1980 0.012/yr from 1980 through 1990

Question 17

In the following figure,   gives the population   of a certain bacteria culture at time t after a portion of bactericide A was introduced into the population at   .The graph of g gives the population   of a similar bacteria culture at time t after a portion of bactericide B was introduced into the population at   .   Which population is decreasing faster at   ?
Population __________
Which population is decreasing faster at   ?
Population __________
Which bactericide is more effective in reducing the population of bacteria in the short run?
Bactericide __________
Which bactericide is more effective in reducing the population of bacteria in the long run?
Bactericide __________

Accepted Answer

The answer of In the following figure,   gives...

Question 18

Find the indicated limit.

Accepted Answer

The answer of Find the indicated limit.  ...

Question 19

Find the indicated limit, if it exists.

Accepted Answer

A)    
B)    
C)    
D)    
E) The limit does not exist. 
A)    
B)    
C)    
D)    
E) The limit does not exist.

Question 20

Find the limit.

Accepted Answer

The answer of Find the limit.  ...

Let and .Find the rule for the function

Find function f such that and

Evaluate h (2), where h (2) = __________

Find the one-sided limit.

Determine whether the equation defines y as a linear function of x.Answer yes or no.

Use the graph of the function f to determine and .

A rectangular box is to have a square base and a volume of 20 .The material for the base costs , the material for the sides costs , and the material for the top costs .Letting x denote the length of one side of the base, find a function in the variable x giving the cost of constructing the box.

Find the indicated one-sided limit.

Find f (a + h) - f (a) for the function f (x) = 8x + 5.Simplify your answer.

TMI, a manufacturer of blank audiocassette tapes, has a monthly fixed cost of $13,100 and a variable cost of $0.40/tape.Find a function C that gives the total cost incurred by TMI in the manufacture of x tapes/month.

Find the limit, if it exists.Otherwise, answer no solution.

Let , .Find the rule for the function

Find the indicated limit.

The following graph shows the ratio of bachelor's degrees earned by women to men from 1960 through 1990.How fast was the ratio changing in the period from 1960 to 1980? From 1980 to 1990?

Find the indicated limit.

Find the indicated limit, if it exists.

Find the limit.

Preliminaries

Differentiation

Applications of the Derivative

Exponential and Logarithmic Functions

Integration

Additional Topics in Integration

Calculus of Several Variables

Filters

Exam 2: Functions, Limits and the Derivative

Let and .Find the rule for the function

Find function f such that and

Evaluate h (2), where h (2) = __________

Find the one-sided limit.

Determine whether the equation defines y as a linear function of x.Answer yes or no.

Use the graph of the function f to determine and .

A rectangular box is to have a square base and a volume of 20 .The material for the base costs , the material for the sides costs , and the material for the top costs .Letting x denote the length of one side of the base, find a function in the variable x giving the cost of constructing the box.

Find the indicated one-sided limit.

Find f (a + h) - f (a) for the function f (x) = 8x + 5.Simplify your answer.

TMI, a manufacturer of blank audiocassette tapes, has a monthly fixed cost of $13,100 and a variable cost of $0.40/tape.Find a function C that gives the total cost incurred by TMI in the manufacture of x tapes/month.

Find the limit, if it exists.Otherwise, answer no solution.

Let , .Find the rule for the function

Find the indicated limit.

The following graph shows the ratio of bachelor's degrees earned by women to men from 1960 through 1990.How fast was the ratio changing in the period from 1960 to 1980? From 1980 to 1990?

Find the indicated limit.

Find the indicated limit, if it exists.

Find the limit.

Preliminaries

Differentiation

Applications of the Derivative

Exponential and Logarithmic Functions

Integration

Additional Topics in Integration

Calculus of Several Variables

Filters