Question 1

Select the correct Answer: for each question.
-Find the given derivative by finding the first few derivatives and observing the pattern that occurs.

Accepted Answer

A)    
B)    
C)    
D)    
E) None of these 
A)    
B)    
C)    
D)    
E) None of these B

Question 2

Calculate

Accepted Answer

The answer of Calculate    ...

Question 3

The volume of a cube is increasing at a rate of   How fast is the surface area increasing when the length of an edge is

Accepted Answer

The answer of The volume of a cube is increasing...

Question 4

Select the correct Answer for each question.
-Find   in terms of

Accepted Answer

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

Question 5

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 6

Select the correct Answer: for each question.
-Find the derivative of the function.

Accepted Answer

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

Question 7

Select the correct Answer for each question.
-Calculate

Accepted Answer

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

Question 8

Calculate

Accepted Answer

The answer of Calculate    ...

Question 9

Select the correct Answer: for each question.
-Find the second derivative of the function.

Accepted Answer

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

Question 10

Find an equation of the line tangent to the graph of   at the point where   Select the correct Answer

Accepted Answer

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

Question 11

Find the derivative of the function.

Accepted Answer

The answer of Find the derivative of the function. ...

Question 12

Find an equation of the tangent line to the graph of the function at the indicated point.

Accepted Answer

The answer of Find an equation of the tangent line...

Question 13

Select the correct Answer: for each question.
-Find the derivative of the function.

Accepted Answer

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

Question 14

Differentiate the function.

Accepted Answer

The answer of Differentiate the function.  ...

Question 15

Select the correct Answer: for each question.
-Suppose the daily total cost (in dollars) of manufacturing   televisions is   What is the marginal cost when   What is the actual cost incurred in manufacturing the 201st television?

Accepted Answer

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

Question 16

The half-life of   is 30 years.Suppose we have a   sample.Find the mass that remains after years.

Accepted Answer

The answer of The half-life of   is 30...

Question 17

Let   a.Find the derivative   of   b.Find the point on the graph of   where the tangent line to the curve is horizontal.
c.Sketch the graph of   nd the tangent line to the curve at the point found in part (b).
d.What is the rate of change of   at this point?

Accepted Answer

a. @#IMG-DLM& b.(2,

Question 18

A car leaves an intersection traveling west.Its position 4 sec later is 26 ft from the intersection.At the same time, another car leaves the same intersection heading north so that its position 4 sec later is 20 ft from the intersection.If the speeds of the cars at that instant of time are 8 ft/sec and 12 ft/sec, respectively, find the rate at which the distance between the two cars is changing.Round to the nearest tenth if necessary.Select the correct Answer

Accepted Answer

A) 13.7 ft/sec 
B) 2.7 ft/sec 
C) 4.1 ft/sec 
D) 32.8 ft/sec 
A) 13.7 ft/sec 
B) 2.7 ft/sec 
C) 4.1 ft/sec 
D) 32.8 ft/sec

Question 19

Find the derivative of the function.Select the correct Answer

Accepted Answer

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

Question 20

Use the linear approximation of the function to approximate the number   to approximate the number

Accepted Answer

The answer of Use the linear approximation of the function...

Select the correct Answer: for each question. -Find the given derivative by finding the first few derivatives and observing the pattern that occurs.

Calculate

The volume of a cube is increasing at a rate of How fast is the surface area increasing when the length of an edge is

Select the correct Answer for each question. -Find in terms of

Evaluate the integral.

Select the correct Answer: for each question. -Find the derivative of the function.

Select the correct Answer for each question. -Calculate

Calculate

Select the correct Answer: for each question. -Find the second derivative of the function.

Find an equation of the line tangent to the graph of at the point where Select the correct Answer

Find the derivative of the function.

Find an equation of the tangent line to the graph of the function at the indicated point.

Select the correct Answer: for each question. -Find the derivative of the function.

Differentiate the function.

Select the correct Answer: for each question. -Suppose the daily total cost (in dollars) of manufacturing televisions is What is the marginal cost when What is the actual cost incurred in manufacturing the 201st television?

The half-life of is 30 years.Suppose we have a sample.Find the mass that remains after years.

Let a.Find the derivative of b.Find the point on the graph of where the tangent line to the curve is horizontal. c.Sketch the graph of nd the tangent line to the curve at the point found in part (b). d.What is the rate of change of at this point?

Find the derivative of the function.Select the correct Answer

Use the linear approximation of the function to approximate the number to approximate the number

Functions and Models

Limits and Derivatives

Applications of Differentiation

Integrals

Applications of Integration

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters

Exam 3: Differentiation Rules

Select the correct Answer: for each question. -Find the given derivative by finding the first few derivatives and observing the pattern that occurs.

Calculate

The volume of a cube is increasing at a rate of How fast is the surface area increasing when the length of an edge is

Select the correct Answer for each question. -Find in terms of

Evaluate the integral.

Select the correct Answer: for each question. -Find the derivative of the function.

Select the correct Answer for each question. -Calculate

Calculate

Select the correct Answer: for each question. -Find the second derivative of the function.

Find an equation of the line tangent to the graph of at the point where Select the correct Answer

Find the derivative of the function.

Find an equation of the tangent line to the graph of the function at the indicated point.

Select the correct Answer: for each question. -Find the derivative of the function.

Differentiate the function.

Select the correct Answer: for each question. -Suppose the daily total cost (in dollars) of manufacturing televisions is What is the marginal cost when What is the actual cost incurred in manufacturing the 201st television?

The half-life of is 30 years.Suppose we have a sample.Find the mass that remains after years.

Let a.Find the derivative of b.Find the point on the graph of where the tangent line to the curve is horizontal. c.Sketch the graph of nd the tangent line to the curve at the point found in part (b). d.What is the rate of change of at this point?

Find the derivative of the function.Select the correct Answer

Use the linear approximation of the function to approximate the number to approximate the number

Functions and Models

Limits and Derivatives

Applications of Differentiation

Integrals

Applications of Integration

Techniques of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters