Question 1

in terms of x and y.

Accepted Answer

The answer of   in terms of x and...

Question 2

A circle's radius is increasing.Find the rate of change of the area of the circle with respect to the radius   when

Accepted Answer

The answer of A circle's radius is increasing.Find the rate...

Question 3

Find the derivative of the function.

Accepted Answer

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

Question 4

Find the differential of the function at the indicated number.

Accepted Answer

The answer of Find the differential of the function at...

Question 5

Find an equation of the tangent line to the curve   at the point (4,1).Select the correct Answer

Accepted Answer

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

Question 6

Select the correct Answer: for each question.
-Find   by implicit differentiation.

Accepted Answer

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

Question 7

If a tank holds 5000 gallons of water, and that water can drain from the tank in 40 minutes, then Torricelli's Law gives the volume   of water remaining in the tank after   minutes as   Find the rate at which water is draining from the tank after   minutes.

Accepted Answer

The answer of If a tank holds 5000 gallons of...

Question 8

Find the first and the second derivatives of the function.

Accepted Answer

The answer of Find the first and the second derivatives...

Question 9

A baseball diamond is a square with side 90 ft.A ba   tter hits the ball and runs toward first base with a speed of   At what rate is his distance from second base decreasing when he is halfway to first base? Round the result to the nearest hundredth.

Accepted Answer

The answer of A baseball diamond is a square with...

Question 10

has a half-life of   A sample has a mass of   initially.Find the mass remaining after 42 days.

Accepted Answer

The answer of   has a half-life of ...

Question 11

Select the correct Answer: for each question.
-Water flows from a tank of constant cross-sectional area 50   through an orifice of constant cross-sectional area   located at the bottom of the tank.Initially, the height of the water in the tank was 20 ft, and t sec later it was given by the equation   How fast was the height of the water decreasing when its height was 2 ft?

Accepted Answer

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

Question 12

Select the correct Answer for each question.
-Suppose that   Find

Accepted Answer

A) 24 
B) 17 
C)    
D) 140 
E) 20 
A) 24 
B) 17 
C)    
D) 140 
E) 20

Question 13

Gravel is being dumped from a conveyor belt at a rate of   ft/min and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.How fast is the height of the pile increasing when the pile is   ft high? Round the result to the nearest hundredth.Select the correct Answer

Accepted Answer

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

Question 14

Select the correct Answer for each question.
-If

Accepted Answer

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

Question 15

Refer to the law of laminar flow.Consider a blood vessel with radius 0.01 cm, length 3 cm, pressure difference   and viscosity   Find the velocity of the blood at radius

Accepted Answer

The answer of Refer to the law of laminar flow.Consider...

Question 16

Select the correct Answer for each question.
-If

Accepted Answer

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

Question 17

in terms of

Accepted Answer

The answer of   in terms of  ...

Question 18

Find the derivative of the function.

Accepted Answer

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

Question 19

Differentiate the function.

Accepted Answer

The answer of Differentiate the function.  ...

Question 20

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

Accepted Answer

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

in terms of x and y.

A circle's radius is increasing.Find the rate of change of the area of the circle with respect to the radius when

Find the derivative of the function.

Find the differential of the function at the indicated number.

Find an equation of the tangent line to the curve at the point (4,1).Select the correct Answer

Select the correct Answer: for each question. -Find by implicit differentiation.

If a tank holds 5000 gallons of water, and that water can drain from the tank in 40 minutes, then Torricelli's Law gives the volume of water remaining in the tank after minutes as Find the rate at which water is draining from the tank after minutes.

Find the first and the second derivatives of the function.

A baseball diamond is a square with side 90 ft.A ba tter hits the ball and runs toward first base with a speed of At what rate is his distance from second base decreasing when he is halfway to first base? Round the result to the nearest hundredth.

has a half-life of A sample has a mass of initially.Find the mass remaining after 42 days.

Select the correct Answer for each question. -Suppose that Find

Select the correct Answer for each question. -If

Refer to the law of laminar flow.Consider a blood vessel with radius 0.01 cm, length 3 cm, pressure difference and viscosity Find the velocity of the blood at radius

Select the correct Answer for each question. -If

in terms of

Find the derivative of the function.

Differentiate the function.

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

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

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Exam 3: Differentiation Rules

in terms of x and y.

A circle's radius is increasing.Find the rate of change of the area of the circle with respect to the radius when

Find the derivative of the function.

Find the differential of the function at the indicated number.

Find an equation of the tangent line to the curve at the point (4,1).Select the correct Answer

Select the correct Answer: for each question. -Find by implicit differentiation.

If a tank holds 5000 gallons of water, and that water can drain from the tank in 40 minutes, then Torricelli's Law gives the volume of water remaining in the tank after minutes as Find the rate at which water is draining from the tank after minutes.

Find the first and the second derivatives of the function.

A baseball diamond is a square with side 90 ft.A ba tter hits the ball and runs toward first base with a speed of At what rate is his distance from second base decreasing when he is halfway to first base? Round the result to the nearest hundredth.

has a half-life of A sample has a mass of initially.Find the mass remaining after 42 days.

Select the correct Answer for each question. -Suppose that Find

Select the correct Answer for each question. -If

Refer to the law of laminar flow.Consider a blood vessel with radius 0.01 cm, length 3 cm, pressure difference and viscosity Find the velocity of the blood at radius

Select the correct Answer for each question. -If

in terms of

Find the derivative of the function.

Differentiate the function.

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

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