Question 1

For children between the ages of 5 and 13 years old, the Ehrenberg equation  gives the relationship between the weight W (in kilograms) and the height h (in meters) of a child. Use differentials to estimate the change in the weight of a child who grows from 0.8 m to 1 m. Round the answer to the nearest tenth.
__________ kg

Accepted Answer

The answer of For children between the ages of 5...

Question 2

Find the derivative of the function.

Accepted Answer

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

Question 3

Find the derivative of the function.

Accepted Answer

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

Question 4

Find the inflection points of the function  .
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the inflection points of the function...

Question 5

Find an equation of the tangent line to the graph of  at its inflection point.
A) 
B) 
C) 
D) 
E)

Accepted Answer

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

Question 6

Find the inflection points of the function  .
A) 
B) 
C) 
D) There are no inflection points.

Accepted Answer

The answer of Find the inflection points of the function...

Question 7

The strain (percent of compression) on the lumbar vertebral disks in an adult human as a function of the load x (in kilograms) is given by  . What is the rate of change of the strain with respect to the load when the load is 300 kg? When the load is 450 kg? Give the answers to four decimal places.
A) 
B) 
C) 
D)

Accepted Answer

The answer of The strain (percent of compression) on the...

Question 8

For children between the ages of 5 and 13 years old, the Ehrenberg equation  gives the relationship between the weight W (in kilograms) and the height h (in meters) of a child. Use differentials to estimate the change in the weight of a child who grows from 1.1 m to 1.4 m.
A)  kg
B)  kg
C)  kg
D)  kg
E)  kg

Accepted Answer

The answer of For children between the ages of 5...

Question 9

Find the derivative of the function.

Accepted Answer

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

Question 10

Find the derivative of the function.

Accepted Answer

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

Question 11

Find the derivative of the function.

Accepted Answer

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

Question 12

Find the derivative of the function.

Accepted Answer

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

Question 13

Find the derivative of the function.

Accepted Answer

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

Question 14

Find the derivative of the function.

Accepted Answer

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

Question 15

Find the derivative of the function.

Accepted Answer

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

Question 16

Use the curve-sketching guideline, to select the graph of the function. 
A) 
B) 
C)

Accepted Answer

The answer of Use the curve-sketching guideline, to select the...

Question 17

On the Richter scale, the magnitude R of an earthquake is given by the formula  where I is the intensity of the earthquake being measured and  is the standard reference intensity. Suppose an earthquake is measured with a magnitude of 6 on the Richter scale with an error of at most 2%. Use differentials to find the error in the intensity of the earthquake. Round your answer to the nearest integer.
A) 
B) 
C) 
D) 
E)

Accepted Answer

Let I be the intensity of the earthquake being measured. We know that R=6 and dR/R=0.02. We want to find dI, the error in the intensity of the earthquake. We have:
dR/R = ln(I/I0)ln(10)
So, taking differentials of both sides:
dR/R = (1/ln(10))(1/I)dI
Solving for dI, we get:
dI = (ln(I/I0))(ln(10))(dR/R)I
Substituting the given values, we get:
dI = (ln(10))(0.02)(I)e^(-6.0 ln(10))
dI ≈ 0.214I
Rounding this to the nearest integer gives an error of 21%. Therefore, the correct option is C, i.e., 11eaa8b1_daee_c44a_b1b6_dd80116c4bc7_TB6026_11.

Question 18

Find the derivative of the function.

Accepted Answer

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

Question 19

Find the derivative of the function.

Accepted Answer

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

Question 20

Find the derivative of the function.

Accepted Answer

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

Quiz 5: Exponential and Logarithmic Functions

Find the derivative of the function.

Find the derivative of the function.

Find the inflection points of the function .

Find an equation of the tangent line to the graph of at its inflection point.

Find the inflection points of the function .

The strain (percent of compression) on the lumbar vertebral disks in an adult human as a function of the load x (in kilograms) is given by . What is the rate of change of the strain with respect to the load when the load is 300 kg? When the load is 450 kg? Give the answers to four decimal places.

For children between the ages of 5 and 13 years old, the Ehrenberg equation gives the relationship between the weight W (in kilograms) and the height h (in meters) of a child. Use differentials to estimate the change in the weight of a child who grows from 1.1 m to 1.4 m.

Find the derivative of the function.

Find the derivative of the function.

Find the derivative of the function.

Find the derivative of the function.

Find the derivative of the function.

Find the derivative of the function.

Find the derivative of the function.

Use the curve-sketching guideline, to select the graph of the function.

Find the derivative of the function.

Find the derivative of the function.

Find the derivative of the function.