Question 1

Determine:

Accepted Answer

@#IMG-DLM&_TB6578_11

Question 2

The length of a side of a square is increasing at a rate of   
=   
.Find s as a function of t.

Accepted Answer

s(t)= 2 ln

Question 3

Find y subject to the given conditions: y'' =   
   
+ 5; y'(0)= 1; y(0)= 5

Accepted Answer

@#IMG-DLM&_TB6578_11 @#IMG-DLM&_TB6578_1

Question 4

If y' =   and y(0)=  
,then y =

Accepted Answer

A)    +   
B)  2   +   
C)      + 3 
D)    
E)  2   +   
A)    +   
B)  2   +   
C)      + 3 
D)    
E)  2   +

Question 5

Determine:   
dx

Accepted Answer

The answer of Determine:   
dx...

Question 6

If y = (   
+ 3   
,find   
.

Accepted Answer

The answer of If y = (   
+...

Question 7

Find the indefinite integral   
dx.

Accepted Answer

@#IMG-DLM&_TB6578_11

Question 8

Determine:

Accepted Answer

@#IMG-DLM&_TB6578_11

Question 9

Determine:   
dx

Accepted Answer

@#IMG-DLM&_TB6578_11

Question 10

dx =

Accepted Answer

A)    + 5x + 2 ln   + C 
B)    + 6x + 3 ln   + C 
C)    ln   + C 
D)    ln   + C 
E)    - 2x + C 
A)    + 5x + 2 ln   + C 
B)    + 6x + 3 ln   + C 
C)    ln   + C 
D)    ln   + C 
E)    - 2x + C

Question 11

The producers of a long running television show expect the number of viewers (in thousands)to decrease at a rate of V'(x)= -20 - 3x,where x is the number of weeks after the television season begins.Find the total decrease in viewers in the first three weeks by evaluating   
.

Accepted Answer

The answer of The producers of a long running television...

Question 12

If y =   ,then dy =

Accepted Answer

A)    dx. 
B)    dx. 
C)  6x   dx. 
D)    dx. 
E)    dx. 
A)    dx. 
B)    dx. 
C)  6x   dx. 
D)    dx. 
E)    dx.

Question 13

=

Accepted Answer

A)  0 
B)    
C)    
D)    
E)  -   
A)  0 
B)    
C)    
D)    
E)  -

Question 14

The rate of change in cost of producing a product is given by C'(x)=   
+ 1.Find the increase in cost from producing 20 units to producing 80 units.

Accepted Answer

The answer of The rate of change in cost of...

Question 15

The present value (in dollars)of a continuous flow of income of P dollars a year for t years at a rate of 100r percent compounded continuously is given by   
.Evaluate this integral if   
   
and   
Give your answer in terms of e.

Accepted Answer

25,000(1 -

Question 16

If   = 3  
- 3 - 4  
And y(0)= 8,then y =

Accepted Answer

A)  8. 
B)    - 3x - 4   
C)    - 3x - 2   
D)    - 3x - 2   + 8. 
E)    - 3x - 2   + 10. 
A)  8. 
B)    - 3x - 4   
C)    - 3x - 2   
D)    - 3x - 2   + 8. 
E)    - 3x - 2   + 10.

Question 17

Determine:   
dx

Accepted Answer

The answer of Determine:   
dx...

Question 18

Determine:

Accepted Answer

@#IMG-DLM&_TB6578_11

Question 19

Determine:

Accepted Answer

@#IMG-DLM&_TB6578_11

Question 20

Determine:

Accepted Answer

The answer of Determine:  ...

Determine:

The length of a side of a square is increasing at a rate of = .Find s as a function of t.

Find y subject to the given conditions: y'' = + 5; y'(0)= 1; y(0)= 5

If y' = and y(0)= ,then y =

Determine: dx

If y = ( + 3 ,find .

Find the indefinite integral dx.

Determine:

Determine: dx

dx =

The producers of a long running television show expect the number of viewers (in thousands)to decrease at a rate of V'(x)= -20 - 3x,where x is the number of weeks after the television season begins.Find the total decrease in viewers in the first three weeks by evaluating .

If y = ,then dy =

=

The rate of change in cost of producing a product is given by C'(x)= + 1.Find the increase in cost from producing 20 units to producing 80 units.

The present value (in dollars)of a continuous flow of income of P dollars a year for t years at a rate of 100r percent compounded continuously is given by .Evaluate this integral if and Give your answer in terms of e.

If = 3 - 3 - 4 And y(0)= 8,then y =

Determine: dx

Determine:

Determine:

Determine:

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Exam 15: Integration

Determine:

The length of a side of a square is increasing at a rate of = .Find s as a function of t.

Find y subject to the given conditions: y'' = + 5; y'(0)= 1; y(0)= 5

If y' = and y(0)= ,then y =

Determine: dx

If y = ( + 3 ,find .

Find the indefinite integral dx.

Determine:

Determine: dx

dx =

The producers of a long running television show expect the number of viewers (in thousands)to decrease at a rate of V'(x)= -20 - 3x,where x is the number of weeks after the television season begins.Find the total decrease in viewers in the first three weeks by evaluating .

If y = ,then dy =

=

The rate of change in cost of producing a product is given by C'(x)= + 1.Find the increase in cost from producing 20 units to producing 80 units.

The present value (in dollars)of a continuous flow of income of P dollars a year for t years at a rate of 100r percent compounded continuously is given by .Evaluate this integral if and Give your answer in terms of e.

If = 3 - 3 - 4 And y(0)= 8,then y =

Determine: dx

Determine:

Determine:

Determine:

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