Question 1

Find the limit.

Accepted Answer

The answer of Find the limit.  ...

Question 2

Find the limit.

Accepted Answer

The answer of Find the limit.  ...

Question 3

Let   ,   .Find the rule for the function f - g.

Accepted Answer

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

Question 4

A function f is continuous at the point   if the following conditions are satisfied. 1.   is defined.
2)   exists.
3)   .
Determine the values of x, if any, at which the function is discontinuous.At each point of discontinuity, state the condition(s) for continuity that are violated.

Accepted Answer

A)    
B)    
C)    
D)    
E) Continuous everywhere 
A)    
B)    
C)    
D)    
E) Continuous everywhere

Question 5

Find the domain of the function.

Accepted Answer

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

Question 6

Find   given that   and   .

Accepted Answer

The answer of Find   given that  ...

Question 7

Find   of the functions.

Accepted Answer

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

Question 8

The 1980s saw a trend toward old-fashioned punitive deterrence as opposed to the more liberal penal policies and community-based corrections popular in the 1960s and early 1970s.As a result, prisons became more crowded, and the gap between the number of people in prison and the prison capacity widened.The number of prisoners (in thousands) in federal and state prisons is approximated by the function   where t is measured in years, with t = 0 corresponding to 1983.The number of inmates for which prisons were designed is given by   where C(t) is measured in thousands and t has the same meaning as before.Find an expression that shows the gap between the number of prisoners and the number of inmates for which the prisons were designed at any time t.

Accepted Answer

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

Question 9

Complete the table by computing   at the given values of x.Use these results to estimate   (if it exists).

Accepted Answer

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

Question 10

A manufacturer has a monthly fixed cost of $45,000 and a production cost of $9 for each unit produced.The product sells for $40/unit.What is the cost function? What is the revenue function? What is the profit function?

Accepted Answer

A) C(x) = 9x + 45,000, R(x) = 40x and P(x) = 31x - 45,000 
B) C(x) = 40x + 9, R(x) = 9x and P(x) = -31x + 45,000 
C) C(x) = 40x + 45,000, R(x) = 45,000x and P(x) = 31x - 45,000 
D) C(x) = 9x + 45,000, R(x) = 9x and P(x) = 31x + 45,000 
E) C(x) = 9x + 45,000, R(x) = 45,000x and P(x) = 31x + 45,000 
A) C(x) = 9x + 45,000, R(x) = 40x and P(x) = 31x - 45,000 
B) C(x) = 40x + 9, R(x) = 9x and P(x) = -31x + 45,000 
C) C(x) = 40x + 45,000, R(x) = 45,000x and P(x) = 31x - 45,000 
D) C(x) = 9x + 45,000, R(x) = 9x and P(x) = 31x + 45,000 
E) C(x) = 9x + 45,000, R(x) = 45,000x and P(x) = 31x + 45,000

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

Find   of the functions.

Accepted Answer

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

Question 13

During the construction of a high-rise building, a worker accidentally dropped his portable electric screwdriver from a height of 144 ft.After t sec, the screwdriver had fallen a distance of   ft. What was the velocity of the screwdriver at the time it hit the ground?

Accepted Answer

A) 12 ft/sec 
B) 96 ft/sec 
C) 768 ft/sec 
D) 48 ft/sec 
A) 12 ft/sec 
B) 96 ft/sec 
C) 768 ft/sec 
D) 48 ft/sec

Question 14

Match between columns
                        Premises: 11ec9320_7935_d45a_86bb_83210ecf8c93_TB7866_11
11ec9320_85a8_799b_86bb_4746427ae3b3_TB7866_11
11ec9320_6bd1_f149_86bb_ad9c8be5998a_TB7866_11

Accepted Answer

The Answer of 11ec9320_a2b2_8e9d_86bb_6fa555c71303_TB7866_11 and 11ec9320_98d3_3e6c_86bb_f3bf87af7898_TB7866_11 and 11ec9320_af35_ae9e_86bb_2750bb5072f1_TB7866_11 is...

Question 15

TMI, a manufacturer of blank audiocassette tapes, has a monthly fixed cost of $10,900 and a variable cost of $0.50/tape.Find a function C that gives the total cost incurred by TMI in the manufacture of x tapes/month.

Accepted Answer

A) C(x) = 0.5x 
B) C(x) = 0.5x + 10,900 
C) C(x) = 10,900x + 0.5 
D) C(x) = (0.5 + 10,900)x 
E) C(x) = 10,900x 
A) C(x) = 0.5x 
B) C(x) = 0.5x + 10,900 
C) C(x) = 10,900x + 0.5 
D) C(x) = (0.5 + 10,900)x 
E) C(x) = 10,900x

Question 16

If f and g are functions, then   .

Accepted Answer

A) True 
 B)False

Question 17

A study prepared for a Sunbelt town's Chamber of Commerce projected that the population of the town in the next 5 yr will grow according to the rule   where P(x) denotes the population x mo from now.
By how much will the population increase during the next 4 mo?
__________
During the next 16 mo?
__________

Accepted Answer

The answer of A study prepared for a Sunbelt town's...

Question 18

Find the values of x for which the function is continuous.

Accepted Answer

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

Question 19

Select the correct graph of the function f and evaluate   if it exists.

Accepted Answer

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

Question 20

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

Accepted Answer

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

Find the limit.

Find the limit.

Let , .Find the rule for the function f - g.

A function f is continuous at the point if the following conditions are satisfied. 1. is defined. 2) exists. 3) . Determine the values of x, if any, at which the function is discontinuous.At each point of discontinuity, state the condition(s) for continuity that are violated.

Find the domain of the function.

Find given that and .

Find of the functions.

Complete the table by computing at the given values of x.Use these results to estimate (if it exists).

A manufacturer has a monthly fixed cost of $45,000 and a production cost of $9 for each unit produced.The product sells for $40/unit.What is the cost function? What is the revenue function? What is the profit function?

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

Find of the functions.

During the construction of a high-rise building, a worker accidentally dropped his portable electric screwdriver from a height of 144 ft.After t sec, the screwdriver had fallen a distance of ft. What was the velocity of the screwdriver at the time it hit the ground?

TMI, a manufacturer of blank audiocassette tapes, has a monthly fixed cost of $10,900 and a variable cost of $0.50/tape.Find a function C that gives the total cost incurred by TMI in the manufacture of x tapes/month.

If f and g are functions, then .

A study prepared for a Sunbelt town's Chamber of Commerce projected that the population of the town in the next 5 yr will grow according to the rule where P(x) denotes the population x mo from now. By how much will the population increase during the next 4 mo? During the next 16 mo?

Find the values of x for which the function is continuous.

Select the correct graph of the function f and evaluate if it exists.

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

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

Find the limit.

Find the limit.

Let , .Find the rule for the function f - g.

A function f is continuous at the point if the following conditions are satisfied. 1. is defined. 2) exists. 3) . Determine the values of x, if any, at which the function is discontinuous.At each point of discontinuity, state the condition(s) for continuity that are violated.

Find the domain of the function.

Find given that and .

Find of the functions.

Complete the table by computing at the given values of x.Use these results to estimate (if it exists).

A manufacturer has a monthly fixed cost of $45,000 and a production cost of $9 for each unit produced.The product sells for $40/unit.What is the cost function? What is the revenue function? What is the profit function?

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

Find of the functions.

During the construction of a high-rise building, a worker accidentally dropped his portable electric screwdriver from a height of 144 ft.After t sec, the screwdriver had fallen a distance of ft. What was the velocity of the screwdriver at the time it hit the ground?

TMI, a manufacturer of blank audiocassette tapes, has a monthly fixed cost of $10,900 and a variable cost of $0.50/tape.Find a function C that gives the total cost incurred by TMI in the manufacture of x tapes/month.

If f and g are functions, then .

Find the values of x for which the function is continuous.

Select the correct graph of the function f and evaluate if it exists.

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

Preliminaries

Differentiation

Applications of the Derivative

Exponential and Logarithmic Functions

Integration

Additional Topics in Integration

Calculus of Several Variables

Filters