Question 1

Calculate the limit algebraically.

Accepted Answer

A)    
B)    
C) 0 
D)    
E)    
A)    
B)    
C) 0 
D)    
E)    B

Question 2

Calculate the average rate of change of the given function (Inflation (%)of Budget deficit (% of GNP))over the interval   .   Please enter your answer as a number without the units.

Accepted Answer

0.5

Question 3

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 f (0)will make it continuous at   . 
A)    
B)    
C)    
D)    
E) No value of f (0)will make it continuous at   . E

Question 4

Compute the derivative function   algebraically.

Accepted Answer

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

Question 5

If a stone is dropped from a height of 404 feet, its height after t seconds is given by   . Find the stone s average velocity over the period 2, 4 .

Accepted Answer

A) -50 
B) -45 
C) -48 
D) -49 
E) -46 
A) -50 
B) -45 
C) -48 
D) -49 
E) -46

Question 6

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

Accepted Answer

The answer of Use a graph to determine whether the...

Question 7

Compute   algebraically for   .

Accepted Answer

The answer of Compute   algebraically for  ...

Question 8

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

Accepted Answer

A) -10 
B) -4 
C) 1.5 
D) 5 
E) -5 
A) -10 
B) -4 
C) 1.5 
D) 5 
E) -5

Question 9

Use any method to find the slope of the tangent to the graph of the function   at the point that has x -coordinate   .

Accepted Answer

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

Question 10

Compute   algebraically for   .

Accepted Answer

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

Question 11

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 12

Estimate the limit numerically.

Accepted Answer

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

Question 13

Find an equation of the tangent line to the graph of the function   at the point that has x -coordinate   .

Accepted Answer

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

Question 14

Compute   algebraically for   .

Accepted Answer

A) 31 
B) 33 
C) 48 
D) 90 
E) 93 
A) 31 
B) 33 
C) 48 
D) 90 
E) 93

Question 15

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

Accepted Answer

A) 1.9 
B) 5.4 
C) 1.4 
D) -10.8 
E) 5.3 
A) 1.9 
B) 5.4 
C) 1.4 
D) -10.8 
E) 5.3

Question 16

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 17

Compute   for   .

Accepted Answer

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

Question 18

The cost of fighting crime in the U.S. increased steadily in the period 1982-1999. Total spending on police, courts, and prisons can be approximated, respectively, by   billion dollars     billion dollars     billion dollars   where t is time in years since 1980. Compute   to two decimal places.

Accepted Answer

A) 0.27 
B) 0.52 
C) 0.42 
D) 0.37 
E) 0.32 
A) 0.27 
B) 0.52 
C) 0.42 
D) 0.37 
E) 0.32

Question 19

Estimate the limit numerically.

Accepted Answer

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

Question 20

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

Accepted Answer

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

Calculate the limit algebraically.

Calculate the average rate of change of the given function (Inflation (%)of Budget deficit (% of GNP))over the interval . Please enter your answer as a number without the units.

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

Compute the derivative function algebraically.

If a stone is dropped from a height of 404 feet, its height after t seconds is given by . Find the stone s average velocity over the period 2, 4 .

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

Compute algebraically for .

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

Use any method to find the slope of the tangent to the graph of the function at the point that has x -coordinate .

Compute algebraically for .

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

Estimate the limit numerically.

Find an equation of the tangent line to the graph of the function at the point that has x -coordinate .

Compute algebraically for .

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

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

Compute for .

The cost of fighting crime in the U.S. increased steadily in the period 1982-1999. Total spending on police, courts, and prisons can be approximated, respectively, by billion dollars billion dollars billion dollars where t is time in years since 1980. Compute to two decimal places.

Estimate the limit numerically.

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

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

Calculate the limit algebraically.

Calculate the average rate of change of the given function (Inflation (%)of Budget deficit (% of GNP))over the interval . Please enter your answer as a number without the units.

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

Compute the derivative function algebraically.

If a stone is dropped from a height of 404 feet, its height after t seconds is given by . Find the stone s average velocity over the period 2, 4 .

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

Compute algebraically for .

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

Use any method to find the slope of the tangent to the graph of the function at the point that has x -coordinate .

Compute algebraically for .

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

Estimate the limit numerically.

Find an equation of the tangent line to the graph of the function at the point that has x -coordinate .

Compute algebraically for .

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

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

Compute for .

The cost of fighting crime in the U.S. increased steadily in the period 1982-1999. Total spending on police, courts, and prisons can be approximated, respectively, by billion dollars billion dollars billion dollars where t is time in years since 1980. Compute to two decimal places.

Estimate the limit numerically.

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

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