Question 1

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

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The answer of Find the differential in terms of x...

Question 2

dx =

Accepted Answer

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

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The answer of Suppose the surface area of a 2...

Question 4

=

Accepted Answer

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

Question 5

Determine:

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The answer of Determine: ...

Question 6

=

Accepted Answer

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  
.

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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

The answer of If y'' =  
- 2,and y'(0)=...

Question 10

dx =

Accepted Answer

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

The answer of Find dy if y =  
....

Question 13

Determine:  
dp

Accepted Answer

The answer of Determine:  
dp...

Question 14

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

Accepted Answer

The answer of If the marginal cost function is given...

Question 15

Use differentials only to find an approximate value of  
.

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

Question 16

Determine:

Accepted Answer

The answer of Determine: ...

Question 17

Determine:

Accepted Answer

The answer of Determine: ...

Question 18

=

Accepted Answer

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

Question 19

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

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The answer of If y'' = 6x + 2 and...

Question 20

Use differentials only to find an approximate value of  
.

Accepted Answer

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

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 .