Question 1

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

Accepted Answer

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

Question 2

At what point of the curve  does the tangent line have slope  Select the correct Answer
A) 
B) 
C) 
D) 
E)

Accepted Answer

1112.0

Question 3

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  (1990) .  Answers are in billions of dollars per year.Round yourAnswer to two decimal places.

Accepted Answer

The answer of  be the total value of US...

Question 4

Determine the values of  for which the given linear approximation is accurate to within 0.07 at

Accepted Answer

The answer of Determine the values of  for which...

Question 5

Use logarithmic differentiation to find the derivative of the function.

Accepted Answer

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

Question 6

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...

Question 7

Find the derivative of the function.

Accepted Answer

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

Question 8

Find the derivative of the function.Select the correct Answer 
A) 
B) 
C) 
D)

Accepted Answer

1110.0

Question 9

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 10

Use differentials to estimate the amount of paint needed to apply a coat of paint  cm thick to a hemispherical dome with diameter  m.Select the correct Answer
A) 
B) 
C) 
D) 
E)

Accepted Answer

1107.0

Question 11

Find the second derivative of the function.

Accepted Answer

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

Question 12

Use logarithmic differentiation to find the derivative of the function.

Accepted Answer

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

Question 13

Find the second derivative of the function.Select the correct Answer 
A) 
B) 
C) 
D)

Accepted Answer

1095.0

Question 14

If  Select the correct Answer
A) 
B) 
C) 
D) 
E) 
F)-11

Accepted Answer

1096.0

Question 15

The half-life of  is 30 years.Suppose we have a  sample.Find the mass that remains after  years.Select the correct Answer
A) 
B) 
C) 
D) 
E)

Accepted Answer

1105.0

Question 16

The parents of a child wish to establish a trust fund for the child's college education.If they need an estimated $80,000 5 years from  now and they are able to invest the mo  pounded continuously in the interim, how much should they set aside in trust now?

Accepted Answer

The answer of The parents of a child wish to...

Question 17

A telephone line hangs between two poles at 12 m apart in the shape of the catenary  where  and  are measured in meters.Find the slope of this curve where it meets the right pole.

Accepted Answer

The answer of A telephone line hangs between two poles...

Question 18

Find the instantaneous rate of change of the function  when  Select the correct Answer
A)64
B) 
C)8
D)

Accepted Answer

1102.0

Question 19

Find the derivative of the function.

Accepted Answer

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

Question 20

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

Accepted Answer

1099.0

Quiz 3: Differentiation Rules

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

At what point of the curve does the tangent line have slope Select the correct Answer

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 (1990) . Answers are in billions of dollars per year.Round yourAnswer to two decimal places.

Determine the values of for which the given linear approximation is accurate to within 0.07 at

Use logarithmic differentiation to find the derivative of the function.

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

Find the derivative of the function.

Find the derivative of the function.Select the correct Answer

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

Use differentials to estimate the amount of paint needed to apply a coat of paint cm thick to a hemispherical dome with diameter m.Select the correct Answer

Find the second derivative of the function.

Use logarithmic differentiation to find the derivative of the function.

Find the second derivative of the function.Select the correct Answer

If Select the correct Answer

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

The parents of a child wish to establish a trust fund for the child's college education.If they need an estimated $80,000 5 years from now and they are able to invest the mo pounded continuously in the interim, how much should they set aside in trust now?

A telephone line hangs between two poles at 12 m apart in the shape of the catenary where and are measured in meters.Find the slope of this curve where it meets the right pole.

Find the instantaneous rate of change of the function when Select the correct Answer

Find the derivative of the function.

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