Question 1

Find the differential in terms of x and dx.
y =

Accepted Answer

dy = -2x ∙

Question 2

dx =

Accepted Answer

A)    + C 
B)  3   + C 
C)  (3x + 4)   + C 
D)      + C 
E)    + C 
A)    + C 
B)  3   + C 
C)  (3x + 4)   + C 
D)      + C 
E)    + C

Question 3

Suppose the surface area of a 2 meter-tall person changes at the rate of   
= 0.145   
square meters per kilogram,where x is the weight in kilograms.Find the decrease in surface area for a person whose weight decreases from 70 kilograms to 75 kilograms by evaluating

Accepted Answer

-0.050 squ

Question 4

=

Accepted Answer

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

Question 5

Determine:

Accepted Answer

The answer of Determine:  ...

Question 6

=

Accepted Answer

A)  -2 ln   
B)  2 ln   
C)  -8 ln   
D)  8 ln   
E)  -4 ln   
A)  -2 ln   
B)  2 ln   
C)  -8 ln   
D)  8 ln   
E)  -4 ln

Question 7

Use differentials to approximate:

Accepted Answer

The answer of Use differentials to approximate:  ...

Question 8

The producers of a new television show expect the number of viewers (in thousands)to increase at a rate of V'(x)= 100 + 10x,where x is the number of weeks after the show premiers.Find the total increase in viewers in the first seven weeks by evaluating   
.

Accepted Answer

The answer of The producers of a new television show...

Question 9

If y'' =   
- 2,and y'(0)= 3 and y(0)= 4,find y.

Accepted Answer

y = @#IMG-DLM&_TB657

Question 10

dx =

Accepted Answer

A)    -2x + C 
B)  4   - 2x + C 
C)    -   + 3x + C 
D)  5   - 3   + 3x + C 
E)    + C 
A)    -2x + C 
B)  4   - 2x + C 
C)    -   + 3x + C 
D)  5   - 3   + 3x + C 
E)    + C

Question 11

Determine:

Accepted Answer

The answer of Determine:  ...

Question 12

Find dy if y =   
.

Accepted Answer

@#IMG-DLM&_TB6578_11

Question 13

Determine:   
dp

Accepted Answer

@#IMG-DLM&_TB6578_11

Question 14

If the marginal cost function is given by C'(q)=   
-   
,find the cost function if C(0)= 1000.

Accepted Answer

1000 + @#IMG-DLM&_TB

Question 15

Use differentials only to find an approximate value of   
.

Accepted Answer

The answer of Use differentials only to find an approximate...

Question 16

Determine:

Accepted Answer

@#IMG-DLM&_TB6578_11

Question 17

Determine:

Accepted Answer

@#IMG-DLM&_TB6578_11

Question 18

=

Accepted Answer

A)    
B)  12 
C)    
D)  14 
E)    
A)    
B)  12 
C)    
D)  14 
E)

Question 19

If y'' = 6x + 2 and y'(1)= 2 and y(1)= 2,find y.

Accepted Answer

y = @#IMG-DLM&_TB657

Question 20

Use differentials only to find an approximate value of   
.

Accepted Answer

The answer of Use differentials only to find an approximate...

Find the differential in terms of x and dx. y =

dx =

Suppose the surface area of a 2 meter-tall person changes at the rate of = 0.145 square meters per kilogram,where x is the weight in kilograms.Find the decrease in surface area for a person whose weight decreases from 70 kilograms to 75 kilograms by evaluating

=

Determine:

=

Use differentials to approximate:

The producers of a new television show expect the number of viewers (in thousands)to increase at a rate of V'(x)= 100 + 10x,where x is the number of weeks after the show premiers.Find the total increase in viewers in the first seven weeks by evaluating .

If y'' = - 2,and y'(0)= 3 and y(0)= 4,find y.

dx =

Determine:

Find dy if y = .

Determine: dp

If the marginal cost function is given by C'(q)= - ,find the cost function if C(0)= 1000.

Use differentials only to find an approximate value of .

Determine:

Determine:

=

If y'' = 6x + 2 and y'(1)= 2 and y(1)= 2,find y.

Use differentials only to find an approximate value of .

Review of Algebra

Applications and More Algebra

Functions and Graphs

Lines parabolas and Systems

Exponential and Logarithmic Functions

Mathematics of Finance

Matrix Algebra

Linear Programming

Introduction to Probability and Statistics

Additional Topics in Probability

Limits and Continuity

Differentiation

Additional Differentiation Topics

Curve Sketching

Methods and Applications of Integration

Continuous Random Variables

Multivariable Calculus

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Exam 15: Integration

Find the differential in terms of x and dx. y =

dx =

Suppose the surface area of a 2 meter-tall person changes at the rate of = 0.145 square meters per kilogram,where x is the weight in kilograms.Find the decrease in surface area for a person whose weight decreases from 70 kilograms to 75 kilograms by evaluating

=

Determine:

=

Use differentials to approximate:

The producers of a new television show expect the number of viewers (in thousands)to increase at a rate of V'(x)= 100 + 10x,where x is the number of weeks after the show premiers.Find the total increase in viewers in the first seven weeks by evaluating .

If y'' = - 2,and y'(0)= 3 and y(0)= 4,find y.

dx =

Determine:

Find dy if y = .

Determine: dp

If the marginal cost function is given by C'(q)= - ,find the cost function if C(0)= 1000.

Use differentials only to find an approximate value of .

Determine:

Determine:

=

If y'' = 6x + 2 and y'(1)= 2 and y(1)= 2,find y.

Use differentials only to find an approximate value of .

Review of Algebra

Applications and More Algebra

Functions and Graphs

Lines parabolas and Systems

Exponential and Logarithmic Functions

Mathematics of Finance

Matrix Algebra

Linear Programming

Introduction to Probability and Statistics

Additional Topics in Probability

Limits and Continuity

Differentiation

Additional Differentiation Topics

Curve Sketching

Methods and Applications of Integration

Continuous Random Variables

Multivariable Calculus

Filters