Question 1

Estimate   of the function   .

Accepted Answer

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

Question 2

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 3

Compute the derivative function   algebraically.

Accepted Answer

The answer of Compute the derivative function   algebraically....

Question 4

Calculate the average rate of change of the given function f over the intervals   , where h = 5, 0.5, 0.05, 0.005, and 0.0005. (It will be easier to do this if you first simplify the difference quotient ( dq )as much as possible.)   Complete the table.

Accepted Answer

A) dq 145.6 569.5 -644 -6,404 496,071.0025 
B) dq 96 73.5 -9 71.025 71.0025 
C) dq -49.6 -496 -4,960 -49,600 -496,000 
D) dq 96 73.5 71.25 71.025 71.0025 
E) dq 96 297 71.25 71.025 71.0025 
A) dq 145.6 569.5 -644 -6,404 496,071.0025 
B) dq 96 73.5 -9 71.025 71.0025 
C) dq -49.6 -496 -4,960 -49,600 -496,000 
D) dq 96 73.5 71.25 71.025 71.0025 
E) dq 96 297 71.25 71.025 71.0025

Question 5

The chart shows the total annual support for the arts in the U.S. by federal, state, and local government in 1995-2003 as a function of time in years (   represents 1995)together with the regression line.   Over the period   the average rate of change of government funding for the arts was _____ the rate predicted by the regression line.

Accepted Answer

A) equal to 
B) greater than 
C) less than 
A) equal to 
B) greater than 
C) less than

Question 6

Calculate the average rate of change of the given function over the interval   . x 3 4 5 6 f ( x )5 15 4 9

Accepted Answer

The answer of Calculate the average rate of change of...

Question 7

At which labeled point is the slope of the tangent greatest?

Accepted Answer

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

Question 8

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

Accepted Answer

A)    
B)    
C)    
D)    
E) No value of   will make it continuous at   . 
A)    
B)    
C)    
D)    
E) No value of   will make it continuous at   .

Question 9

Use a graph to determine whether the given function is continuous on its domain. If it is not continuous on its domain, list the points of discontinuity.

Accepted Answer

A) The function is continuous on its domain. 
B) The point of discontinuity:   . 
C) The point of discontinuity:   . 
D) The points of discontinuity:   . 
E) The points of discontinuity:   . 
A) The function is continuous on its domain. 
B) The point of discontinuity:   . 
C) The point of discontinuity:   . 
D) The points of discontinuity:   . 
E) The points of discontinuity:   .

Question 10

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

Accepted Answer

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

Question 11

Estimate the derivative of the function   at the point   . Please round your answer to the nearest hundredth.

Accepted Answer

The answer of Estimate the derivative of the function ...

Question 12

Estimate   of the function   .

Accepted Answer

A) 100 
B) 98 
C) 99 
D) 96 
E) 102 
A) 100 
B) 98 
C) 99 
D) 96 
E) 102

Question 13

Compute the derivative function   algebraically.

Accepted Answer

The answer of Compute the derivative function   algebraically....

Question 14

Use the graph to compute   .

Accepted Answer

The answer of Use the graph to compute  ...

Question 15

Compute the derivative function   algebraically.

Accepted Answer

The answer of Compute the derivative function   algebraically....

Question 16

The number of visitors, in millions of visitors per year, to Hawaii in the years 1985 to 1993 can be approximated by   where t = 0 represents June 30,1985. During the same period, visitor spending can be approximated by   where t = 0 represents June 30,1985.Assuming the trends in the models above continue indefinitely, numerically estimate   . Please round the answers to the nearest hundredth.

Accepted Answer

A)    
B)    
C)    
D)    
E) does not exist 
A)    
B)    
C)    
D)    
E) does not exist

Question 17

Use the graph to compute the given quantity.

Accepted Answer

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

Question 18

Calculate the average rate of change of the given function f over the intervals   , where h = 5, 0.5, 0.05, 0.005, and 0.0005. (It will be easier to do this if you first simplify the difference quotient ( dq )as much as possible.)   Complete the table.

Accepted Answer

A) dq 13 8.5 8.05 8.005 8.0005 
B) dq 40 4 0.4 0.000025 0.0005 
C) dq 40 4 0.4 0.04 0.00000025 
D) dq 200 2 0.02 0.0002 0.000002 
E) dq 40 4 0.4 0.04 0.004 
A) dq 13 8.5 8.05 8.005 8.0005 
B) dq 40 4 0.4 0.000025 0.0005 
C) dq 40 4 0.4 0.04 0.00000025 
D) dq 200 2 0.02 0.0002 0.000002 
E) dq 40 4 0.4 0.04 0.004

Question 19

Find an equation of the tangent line to the graph of the function   at the point that has x -coordinate   . Hint : use point-slope formula to find the equation of the tangent line.

Accepted Answer

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

Question 20

Calculate the limit algebraically.

Accepted Answer

A) -0.25 
B) 2 
C) 0.3 
D) -4.0 
E) None of these 
A) -0.25 
B) 2 
C) 0.3 
D) -4.0 
E) None of these

Estimate of the function .

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

Compute the derivative function algebraically.

Calculate the average rate of change of the given function f over the intervals , where h = 5, 0.5, 0.05, 0.005, and 0.0005. (It will be easier to do this if you first simplify the difference quotient ( dq )as much as possible.) Complete the table.

Calculate the average rate of change of the given function over the interval . x 3 4 5 6 f ( x )5 15 4 9

At which labeled point is the slope of the tangent greatest?

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

Use a graph to determine whether the given function is continuous on its domain. If it is not continuous on its domain, list the points of discontinuity.

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

Estimate the derivative of the function at the point . Please round your answer to the nearest hundredth.

Estimate of the function .

Compute the derivative function algebraically.

Use the graph to compute .

Compute the derivative function algebraically.

Use the graph to compute the given quantity.

Calculate the average rate of change of the given function f over the intervals , where h = 5, 0.5, 0.05, 0.005, and 0.0005. (It will be easier to do this if you first simplify the difference quotient ( dq )as much as possible.) Complete the table.

Find an equation of the tangent line to the graph of the function at the point that has x -coordinate . Hint : use point-slope formula to find the equation of the tangent line.

Calculate the limit algebraically.

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

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Exam 3: Introduction to the Derivative

Estimate of the function .

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

Compute the derivative function algebraically.

Calculate the average rate of change of the given function f over the intervals , where h = 5, 0.5, 0.05, 0.005, and 0.0005. (It will be easier to do this if you first simplify the difference quotient ( dq )as much as possible.) Complete the table.

Calculate the average rate of change of the given function over the interval . x 3 4 5 6 f ( x )5 15 4 9

At which labeled point is the slope of the tangent greatest?

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

Use a graph to determine whether the given function is continuous on its domain. If it is not continuous on its domain, list the points of discontinuity.

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

Estimate the derivative of the function at the point . Please round your answer to the nearest hundredth.

Estimate of the function .

Compute the derivative function algebraically.

Use the graph to compute .

Compute the derivative function algebraically.

Use the graph to compute the given quantity.

Calculate the average rate of change of the given function f over the intervals , where h = 5, 0.5, 0.05, 0.005, and 0.0005. (It will be easier to do this if you first simplify the difference quotient ( dq )as much as possible.) Complete the table.

Find an equation of the tangent line to the graph of the function at the point that has x -coordinate . Hint : use point-slope formula to find the equation of the tangent line.

Calculate the limit algebraically.

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