Question 1

Compute   .

Accepted Answer

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

Question 2

Calculate the limit algebraically.

Accepted Answer

A) 37 
B) 36 
C) -36 
D) 108 
E) 144 
A) 37 
B) 36 
C) -36 
D) 108 
E) 144

Question 3

Compute the derivative function   algebraically.

Accepted Answer

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

Question 4

Estimate the limit numerically.

Accepted Answer

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

Question 5

Estimate the limit numerically.

Accepted Answer

A)    
B)    
C)    
D) 1 
E)    
A)    
B)    
C)    
D) 1 
E)

Question 6

Estimate   of the function   .

Accepted Answer

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

Question 7

Calculate the average rate of change of the given function (Inflation (%)of Budget deficit (% of GNP))over the interval   .

Accepted Answer

A) 5 
B) 1 
C) 8 
D) -0.5 
E) -20 
A) 5 
B) 1 
C) 8 
D) -0.5 
E) -20

Question 8

At which labeled point is the slope of the tangent least (in the sense that -7 is less than 1)?

Accepted Answer

A) Q 
B) P 
C) R 
A) Q 
B) P 
C) R

Question 9

Estimate the limit numerically.

Accepted Answer

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

Question 10

Calculate the limit algebraically.

Accepted Answer

The answer of Calculate the limit algebraically.  ...

Question 11

Calculate the average rate of change of the given function over the interval   .

Accepted Answer

A) -44 
B) 40 
C) -4 
D) 4 
E) -40 
A) -44 
B) 40 
C) -4 
D) 4 
E) -40

Question 12

Estimate the limit numerically.

Accepted Answer

A) -2 
B)    
C)    
D)    
E)    
A) -2 
B)    
C)    
D)    
E)

Question 13

Determine what, if any, value to assign to f ( a )to make f continuous at x = a .   ;

Accepted Answer

The answer of Determine what, if any, value to assign...

Question 14

Calculate the limit algebraically.

Accepted Answer

The answer of Calculate the limit algebraically.  ...

Question 15

Compute the derivative function   algebraically.

Accepted Answer

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

Question 16

Calculate the average rate of change of the given function over the interval   .

Accepted Answer

A) 19 
B) 15 
C) 9 
D) 11 
E) 7 
A) 19 
B) 15 
C) 9 
D) 11 
E) 7

Question 17

Calculate the limit algebraically.

Accepted Answer

A) 25 
B) 50 
C) 5 
D) -5 
E) 30 
A) 25 
B) 50 
C) 5 
D) -5 
E) 30

Question 18

The graph of a function   is given. Determine whether   is continuous on its domain.

Accepted Answer

A) Continuous 
B) Discontinuous 
A) Continuous 
B) Discontinuous

Question 19

The function   represents the value of the U.S. dollar in Indian rupees as a function of the time t in days. Find the average rates of change of R ( t )over the time intervals t , t + h , where t is as indicated and h = 1, 0.1, 0.01, and 0.001 days. Hence, estimate (using h = 0.0001)the instantaneous rate of change of R at time t = 2. Select your answer rounded to the nearest whole number.

Accepted Answer

A) 49 
B) 48 
C) 44 
D) 45 
E) 50 
A) 49 
B) 48 
C) 44 
D) 45 
E) 50

Question 20

The function given below gives the cost to manufacture x items. Estimate (using h = 0.0001)the instantaneous rate of change of the cost at the production level x = 1,000.   
Enter your answer as a number without the units rounded to the nearest tenth.

Accepted Answer

The answer of The function given below gives the cost...

Compute .

Calculate the limit algebraically.

Compute the derivative function algebraically.

Estimate the limit numerically.

Estimate the limit numerically.

Estimate of the function .

Calculate the average rate of change of the given function (Inflation (%)of Budget deficit (% of GNP))over the interval .

At which labeled point is the slope of the tangent least (in the sense that -7 is less than 1)?

Estimate the limit numerically.

Calculate the limit algebraically.

Calculate the average rate of change of the given function over the interval .

Estimate the limit numerically.

Determine what, if any, value to assign to f ( a )to make f continuous at x = a . ;

Calculate the limit algebraically.

Compute the derivative function algebraically.

Calculate the average rate of change of the given function over the interval .

Calculate the limit algebraically.

The graph of a function is given. Determine whether is continuous on its domain.

The function given below gives the cost to manufacture x items. Estimate (using h = 0.0001)the instantaneous rate of change of the cost at the production level x = 1,000. Enter your answer as a number without the units rounded to the nearest tenth.

Functions and Linear Models

Nonlinear Functions and Models

Techniques of Differentiation With Applications

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters

Exam 3: Introduction to the Derivative

Compute .

Calculate the limit algebraically.

Compute the derivative function algebraically.

Estimate the limit numerically.

Estimate the limit numerically.

Estimate of the function .

Calculate the average rate of change of the given function (Inflation (%)of Budget deficit (% of GNP))over the interval .

At which labeled point is the slope of the tangent least (in the sense that -7 is less than 1)?

Estimate the limit numerically.

Calculate the limit algebraically.

Calculate the average rate of change of the given function over the interval .

Estimate the limit numerically.

Determine what, if any, value to assign to f ( a )to make f continuous at x = a . ;

Calculate the limit algebraically.

Compute the derivative function algebraically.

Calculate the average rate of change of the given function over the interval .

Calculate the limit algebraically.

The graph of a function is given. Determine whether is continuous on its domain.

The function given below gives the cost to manufacture x items. Estimate (using h = 0.0001)the instantaneous rate of change of the cost at the production level x = 1,000. Enter your answer as a number without the units rounded to the nearest tenth.

Functions and Linear Models

Nonlinear Functions and Models

Techniques of Differentiation With Applications

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Functions of Several Variables

Trigonometric Models

Filters