Question 1

Find  in terms of  Select the correct Answer 
A) 
B) 
C) 
D) 
E)

Accepted Answer

1057.0

Question 2

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 years.Suppose...

Question 3

Find the derivative of the function.

Accepted Answer

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

Question 4

Find the second derivative of the function.

Accepted Answer

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

Question 5

Find the derivative of the function.

Accepted Answer

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

Question 6

Find the second derivative of the function.

Accepted Answer

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

Question 7

Calculate

Accepted Answer

The answer of Calculate  ...

Question 8

In an adiabatic process (one in which no heat transfer takes place), the pressure  and volume V  of an ideal gas such as oxygen satisfy the equation  where  is a constant.Suppose that at a certain instant of time, the volume of the gas is 2L, the pressure is 100 kPa, and the pressure is decreasing at the rate of 5 kPa/sec.Find the rate at which the volume is changing.

Accepted Answer

The answer of In an adiabatic process (one in which...

Question 9

Find the average rate of change of the area of a circle with respect to its radius  as  changes from  to  Select the correct Answer
A) 
B) 
C) 
D) 
E)

Accepted Answer

1064.0

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  A...

Question 11

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral. ...

Question 12

Find the derivative of the function.

Accepted Answer

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

Question 13

Find an equation of the tangent line to the graph of the function at the indicated point.Select the correct Answer 
A) 
B) 
C) 
D)

Accepted Answer

1053.0

Question 14

Use logarithmic differentiation to find the derivative of the function.

Accepted Answer

The answer of Use logarithmic differentiation to find the derivative...

Question 15

If  is the focal length of a convex lens and an object is placed at a distance  from the lens, then its image will be at a distance u from the lens, where  and  are related by the   Find the rate of change of  with respect to

Accepted Answer

The answer of If  is the focal length of...

Question 16

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

The answer of Suppose the daily total cost (in dollars)...

Question 17

If

Accepted Answer

The answer of If ...

Question 18

If u is a differentiable function of  and  then  Use this to find the derivative of the following function.Select the correct Answer 
A) 
B) 
C) 
D)

Accepted Answer

1060.0

Question 19

Let  be the total value of US currency (coins and banknotes) in circulation at time.The table gives values of this function from 1980 to 2000, as of September 30, in billions of dollars.Estimate the value of C  Select the correct Answer  Answers are in billions of dollars per year.Round yourAnswer to two decimal places.
A) 
B) 
C) 
D) 
E)

Accepted Answer

1068.0

Question 20

Gravel is being dumped from a conveyor belt at a rate of  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  Round the result to the nearest hundredth.

Accepted Answer

The answer of Gravel is being dumped from a conveyor...

Quiz 3: Differentiation Rules

Find in terms of Select the correct Answer

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

Find the derivative of the function.

Find the second derivative of the function.

Find the derivative of the function.

Find the second derivative of the function.

Calculate

Find the average rate of change of the area of a circle with respect to its radius as changes from to Select the correct Answer

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

Evaluate the integral.

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

Use logarithmic differentiation to find the derivative of the function.

If is the focal length of a convex lens and an object is placed at a distance from the lens, then its image will be at a distance u from the lens, where and are related by the Find the rate of change of with respect to

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?

If

If u is a differentiable function of and then Use this to find the derivative of the following function.Select the correct Answer

Gravel is being dumped from a conveyor belt at a rate of 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 Round the result to the nearest hundredth.