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)

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

Question 5

Find the domain of the function.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

Find  given that  and  .

Accepted Answer

The answer of Find  given that  and ...

Question 7

Find  of the functions.

Accepted Answer

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)

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)

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

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)

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

Question 14

Match between columns Premises:

Accepted Answer

The Answer of <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB7866/11ec9320_a2b2_8e9d_86bb_6fa555c71303_TB7866_11.jpg" alt=" " class="answers-bank-image d-inline" rel="preload" 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

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)

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)

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...

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?

Match each function with the corresponding functions f and g. Choose the correct letter for each question.

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.