Question 1

Use the formula  = - 
Ln 
+ C to find 
)

Accepted Answer

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

Question 2

Find the exact area of the region bounded by y =  
- 4x and the x-axis.Also sketch the region.

Accepted Answer

The answer of Find the exact area of the region...

Question 3

Find the exact area of the region bounded by the graphs of y = -x,y = 2x,y = 1,and y = 2.Also sketch the region.

Accepted Answer

The answer of Find the exact area of the region...

Question 4

Use Simpson's rule with n = 4 to estimate the value of

Accepted Answer

The answer of Use Simpson's rule with n = 4...

Question 5

Solve the differential equation  
=  
.

Accepted Answer

The answer of Solve the differential equation  
= ...

Question 6

Find the area of the region enclosed by the graphs of y =  
-  
and y = 2x.

Accepted Answer

The answer of Find the area of the region enclosed...

Question 7

The amount of a certain drug in a patient's body t days after it has been administered is C(t)= 6  
units.Determine the average amount of the drug present in the patient's body for the first five days after the drug has been administered.

Accepted Answer

The answer of The amount of a certain drug in...

Question 8

If  = 
,then y =

Accepted Answer

A)   
B)   
C)   
D)   
E)   + C.

Question 9

It is estimated that service industries will grow at the rate of R'(t)= 5  
where t is the time in decades and R(t)is the percent of (non-farming)workers who are employed in the service industry.If 30 percent of the (non-farming)workers are now in the service industry,then use Simpson's rule and n = 4 to approximate
30 +  
the percentage of workers who are working in the service industry in 2 decades.

Accepted Answer

The answer of It is estimated that service industries will...

Question 10

Find the area between the graph of y = f(x)=  
+  
+ 3 and the x-axis on the interval  
.Use your graphing calculator to see a graph of this area.

Accepted Answer

The answer of Find the area between the graph of...

Question 11

Use the tables to find:  
dx

Accepted Answer

The answer of Use the tables to find:  
dx...

Question 12

Find the average value of f(x)= 5 -  
over the interval  
.

Accepted Answer

The answer of Find the average value of f(x)= 5...

Question 13

Suppose that the population of a city in 1992 was 52,400 and in 1996 was 55,300.If the exponential law of growth is assumed,what is the expected population in 2007?

Accepted Answer

The answer of Suppose that the population of a city...

Question 14

=

Accepted Answer

A)  0 
B)  -1 
C)  1 
D)  2 
E)  integral diverges

Question 15

Find the exact area of the region bounded by the graphs of y = 9 -  
and y = 5 - 3x.Also sketch the region.

Accepted Answer

The answer of Find the exact area of the region...

Question 16

Health officials are studying the spread of a disease in a city of 50,000 people.At the beginning of the study,1000 people were infected.One week later,2000 people are infected.Assuming logistic growth,determine the number N of people that are infected t weeks after the beginning of the study.

Accepted Answer

The answer of Health officials are studying the spread of...

Question 17

Find the area of the region bounded by the given equations:
y =  
- x - 9 and y = -  
+ 3x + 7

Accepted Answer

The answer of Find the area of the region bounded...

Question 18

=

Accepted Answer

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

Question 19

The total amount of nuclear waste that will accumulate at a nuclear plant is given by  
Find

Accepted Answer

The answer of The total amount of nuclear waste that...

Question 20

Express the area of the shaded region in terms of an integral (or integrals).Do not evaluate the expression:

Accepted Answer

The answer of Express the area of the shaded region...

Exam 16: Methods and Applications of Integration

Use the formula = - Ln + C to find )

Find the exact area of the region bounded by y = - 4x and the x-axis.Also sketch the region.

Find the exact area of the region bounded by the graphs of y = -x,y = 2x,y = 1,and y = 2.Also sketch the region.

Use Simpson's rule with n = 4 to estimate the value of

Solve the differential equation = .

Find the area of the region enclosed by the graphs of y = - and y = 2x.

The amount of a certain drug in a patient's body t days after it has been administered is C(t)= 6 units.Determine the average amount of the drug present in the patient's body for the first five days after the drug has been administered.

If = ,then y =

Find the area between the graph of y = f(x)= + + 3 and the x-axis on the interval .Use your graphing calculator to see a graph of this area.

Use the tables to find: dx

Find the average value of f(x)= 5 - over the interval .

Suppose that the population of a city in 1992 was 52,400 and in 1996 was 55,300.If the exponential law of growth is assumed,what is the expected population in 2007?

=

Find the exact area of the region bounded by the graphs of y = 9 - and y = 5 - 3x.Also sketch the region.

Health officials are studying the spread of a disease in a city of 50,000 people.At the beginning of the study,1000 people were infected.One week later,2000 people are infected.Assuming logistic growth,determine the number N of people that are infected t weeks after the beginning of the study.

Find the area of the region bounded by the given equations: y = - x - 9 and y = - + 3x + 7

=

The total amount of nuclear waste that will accumulate at a nuclear plant is given by Find

Express the area of the shaded region in terms of an integral (or integrals).Do not evaluate the expression: