Question 1

Use Newton's Method to approximate the zero(s)of the function   accurate to three decimal places. ​

Accepted Answer

A) -0.486 
B) 0.444 
C) -0.539 
D) 0.486 
E) -0.437 
A) -0.486 
B) 0.444 
C) -0.539 
D) 0.486 
E) -0.437

Question 2

Find the derivative of the function   . ​

Accepted Answer

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

Question 3

Find the derivative of the function. ​   ​

Accepted Answer

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Question 4

Suppose the position function for a free-falling object on a certain planet is given by   .A silver coin is dropped from the top of a building that is 1,374 feet tall.Determine the velocity function for the coin. ​

Accepted Answer

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Question 5

Use the Quotient Rule to differentiate the function   . ​

Accepted Answer

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Question 6

Find the slope m of the line tangent to the graph of the function   at the point   . ​

Accepted Answer

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Question 7

Evaluate the derivative of the function   at the point   . ​

Accepted Answer

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D)    ​ 
E)    
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Question 8

​When the height of a cylinder is 18 cm and the radius is 6 cm,the circumference of the cylinder is increasing at a rate of   cm/min,and the height of the cylinder is increasing four times faster than the radius.How fast is the volume of the cylinder changing? ​

Accepted Answer

A) ​   cm3/min 
B) ​   cm3/min 
C) ​   cm3/min 
D) ​   cm3/min 
A) ​   cm3/min 
B) ​   cm3/min 
C) ​   cm3/min 
D) ​   cm3/min

Question 9

Find the derivative of the function   . ​

Accepted Answer

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Question 10

Find the derivative of the function   . ​

Accepted Answer

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Question 11

Find the second derivative of the function   . ​

Accepted Answer

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Question 12

If the annual rate of inflation averages 7% over the next 10 years,the approximate cost C of goods or services during any year in that decade is   where t is the time in years and P is the present cost.The price of an oil change for your car is presently $25.45.Estimate the price 8 years from now.Round your answer to two decimal places. ​

Accepted Answer

A) $27.23 
B) $43.73 
C) $217.85 
D) $27.17 
E) $255.37 
A) $27.23 
B) $43.73 
C) $217.85 
D) $27.17 
E) $255.37

Question 13

​Find   for   . ​

Accepted Answer

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

Question 14

Evaluate   for the equation   at the given point   .Round your answer to two decimal places if necessary. ​

Accepted Answer

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Question 15

​How fast is the perimeter of the semicircle increasing when the radius is 6 cm? Include units in your answer.Round your answer to 3 decimal places.

Accepted Answer

The answer of ​How fast is the perimeter of the...

Question 16

Describe the x-values at which the graph of the function   given below is differentiable.   ​

Accepted Answer

A)    is differentiable at   . 
B)    is differentiable everywhere except at   . 
C)    is differentiable everywhere except at   . 
D)    is differentiable on the interval   ()(. 
E)    is differentiable on the interval   . 
A)    is differentiable at   . 
B)    is differentiable everywhere except at   . 
C)    is differentiable everywhere except at   . 
D)    is differentiable on the interval   ()(. 
E)    is differentiable on the interval   .

Question 17

Find the derivative of the function. ​   .
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Accepted Answer

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Question 18

Find the derivative of the function   . ​

Accepted Answer

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Question 19

Find the derivative of the function   by the limit process. ​

Accepted Answer

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Question 20

Find the derivative of the function   . ​

Accepted Answer

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Use Newton's Method to approximate the zero(s)of the function accurate to three decimal places.

Find the derivative of the function .

Find the derivative of the function.

Suppose the position function for a free-falling object on a certain planet is given by .A silver coin is dropped from the top of a building that is 1,374 feet tall.Determine the velocity function for the coin.

Use the Quotient Rule to differentiate the function .

Find the slope m of the line tangent to the graph of the function at the point .

Evaluate the derivative of the function at the point .

When the height of a cylinder is 18 cm and the radius is 6 cm,the circumference of the cylinder is increasing at a rate of cm/min,and the height of the cylinder is increasing four times faster than the radius.How fast is the volume of the cylinder changing?

Find the derivative of the function .

Find the derivative of the function .

Find the second derivative of the function .

Find for .

Evaluate for the equation at the given point .Round your answer to two decimal places if necessary.

How fast is the perimeter of the semicircle increasing when the radius is 6 cm? Include units in your answer.Round your answer to 3 decimal places.

Describe the x-values at which the graph of the function given below is differentiable.

Find the derivative of the function. .

Find the derivative of the function .

Find the derivative of the function by the limit process.

Find the derivative of the function .

Preparation for Calculus

Limits and Their Properties

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques, L'Hôpital's Rule, and Improper Integrals

Infinite Series

Parametric Equations, Polar Coordinates, and Vectors

Mechanical Ventilation and Sedation: Assessment, Medications, and Complications

Filters

Exam 3: Differentiation

Use Newton's Method to approximate the zero(s)of the function accurate to three decimal places. ​

Find the derivative of the function . ​

Find the derivative of the function. ​ ​

Suppose the position function for a free-falling object on a certain planet is given by .A silver coin is dropped from the top of a building that is 1,374 feet tall.Determine the velocity function for the coin. ​

Use the Quotient Rule to differentiate the function . ​

Find the slope m of the line tangent to the graph of the function at the point . ​

Evaluate the derivative of the function at the point . ​

​When the height of a cylinder is 18 cm and the radius is 6 cm,the circumference of the cylinder is increasing at a rate of cm/min,and the height of the cylinder is increasing four times faster than the radius.How fast is the volume of the cylinder changing? ​

Find the derivative of the function . ​

Find the derivative of the function . ​

Find the second derivative of the function . ​

​Find for . ​

Evaluate for the equation at the given point .Round your answer to two decimal places if necessary. ​

​How fast is the perimeter of the semicircle increasing when the radius is 6 cm? Include units in your answer.Round your answer to 3 decimal places.

Describe the x-values at which the graph of the function given below is differentiable. ​

Find the derivative of the function. ​ . ​​

Find the derivative of the function . ​

Find the derivative of the function by the limit process. ​

Find the derivative of the function . ​

Preparation for Calculus

Limits and Their Properties

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Integration Techniques, L'Hôpital's Rule, and Improper Integrals

Infinite Series

Parametric Equations, Polar Coordinates, and Vectors

Mechanical Ventilation and Sedation: Assessment, Medications, and Complications

Filters

Use Newton's Method to approximate the zero(s)of the function accurate to three decimal places.

Find the derivative of the function .

Find the derivative of the function.

Suppose the position function for a free-falling object on a certain planet is given by .A silver coin is dropped from the top of a building that is 1,374 feet tall.Determine the velocity function for the coin.

Use the Quotient Rule to differentiate the function .

Find the slope m of the line tangent to the graph of the function at the point .

Evaluate the derivative of the function at the point .

When the height of a cylinder is 18 cm and the radius is 6 cm,the circumference of the cylinder is increasing at a rate of cm/min,and the height of the cylinder is increasing four times faster than the radius.How fast is the volume of the cylinder changing?

Find the derivative of the function .

Find the derivative of the function .

Find the second derivative of the function .

Find for .

Evaluate for the equation at the given point .Round your answer to two decimal places if necessary.

How fast is the perimeter of the semicircle increasing when the radius is 6 cm? Include units in your answer.Round your answer to 3 decimal places.

Describe the x-values at which the graph of the function given below is differentiable.

Find the derivative of the function. .

Find the derivative of the function .

Find the derivative of the function by the limit process.

Find the derivative of the function .