Question 1

The velocity of an object is given by V(t)=  
,where t is the time in seconds and V(t)is the speed in feet/sec.Use n = 6 and Simpson's rule to approximate  
the distance moved over the interval  
.

Accepted Answer

The answer of The velocity of an object is given...

Question 2

=

Accepted Answer

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

Question 3

Use the tables to find:  
dx

Accepted Answer

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

Question 4

Use the tables to find:

Accepted Answer

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

Question 5

The demand equation for a certain product is p = 200 -  
,where p is the price per unit (in dollars)for q units.If its supply equation is p = 6q + 160,find the consumers' surplus and the producers' surplus when market equilibrium has been established.

Accepted Answer

The answer of The demand equation for a certain product...

Question 6

The population N of a certain city follows the law of exponential growth given by N =  
  
where  
and k are constants and t is the number of years past 1965.In 1965 the population was 10,000 and in 1985 it was 30,000.What is the expected population in 2005?

Accepted Answer

The answer of The population N of a certain city...

Question 7

Use the formula  
= -  
ln  
+ C to find

Accepted Answer

The answer of Use the formula  
= - ...

Question 8

Use definite integrals to find the area between y = -  
,the x-axis,x = -1,and x = 1.

Accepted Answer

The answer of Use definite integrals to find the area...

Question 9

The growth rate of a tumor satisfies  
= 0.2V  
,where t is the time in months and V is the volume in cubic millimeters.If the initial volume is 1.86 millimeters,find V as a function of t.

Accepted Answer

The answer of The growth rate of a tumor satisfies...

Question 10

Use the table below to determine  
dx.Indicate the formula number employed.
I.  
+ C
II.  
+ C
III.  
  
+ C
IV.  
+ C

Accepted Answer

The answer of Use the table below to determine ...

Question 11

Use the table below to determine  
dx.Indicate the formula number employed.
I.  
+ C
II.  
+ C
III.  
  
+ C
IV.  
+ C

Accepted Answer

The answer of Use the table below to determine ...

Question 12

The population of a town has exponential growth.In 1976 the population was 10,000 and in 1986 it was 20,000.If N is the population at time t,where t is the number of years after 1976,and if you assume than ln 2 = 0.7,then

Accepted Answer

A)  N = 20,000  
B)  N = 20,000  
C)  N = 10,000  
D)  N = 10,000  
E)  N = 0.7

Question 13

If 55% of the initial amount of a radioactive sample remains after 10 hours,find the decay constant and the half-life of the element.

Accepted Answer

The answer of If 55% of the initial amount of...

Question 14

Use the table below to determine  
dx.Indicate the formula number employed.
I.  
+ C
II.  
+ C
III.  
  
+ C
IV.  
+ C

Accepted Answer

The answer of Use the table below to determine ...

Question 15

Determine if  
converges or diverges.If it converges,to what number does it converge?

Accepted Answer

The answer of Determine if  
converges or diverges.If it...

Question 16

Use the trapezoidal rule with n = 4 to estimate the value of

Accepted Answer

The answer of Use the trapezoidal rule with n =...

Question 17

Solve the differential equation y' =  
(2x + 1)subject to the condition that y(-1)=  
.

Accepted Answer

The answer of Solve the differential equation y' = ...

Question 18

Use the formula  
= -  
ln  
+ C to find  
.

Accepted Answer

The answer of Use the formula  
= - ...

Question 19

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...

Question 20

The amount A of glucose present in the bloodstream at any time t is governed by the differential equation  
where R and k are constants.Find A as a function of t.

Accepted Answer

The answer of The amount A of glucose present in...

Exam 16: Methods and Applications of Integration

The velocity of an object is given by V(t)= ,where t is the time in seconds and V(t)is the speed in feet/sec.Use n = 6 and Simpson's rule to approximate the distance moved over the interval .

=

Use the tables to find: dx

Use the tables to find:

The demand equation for a certain product is p = 200 - ,where p is the price per unit (in dollars)for q units.If its supply equation is p = 6q + 160,find the consumers' surplus and the producers' surplus when market equilibrium has been established.

The population N of a certain city follows the law of exponential growth given by N = where and k are constants and t is the number of years past 1965.In 1965 the population was 10,000 and in 1985 it was 30,000.What is the expected population in 2005?

Use the formula = - ln + C to find

Use definite integrals to find the area between y = - ,the x-axis,x = -1,and x = 1.

The growth rate of a tumor satisfies = 0.2V ,where t is the time in months and V is the volume in cubic millimeters.If the initial volume is 1.86 millimeters,find V as a function of t.

Use the table below to determine dx.Indicate the formula number employed. I. + C II. + C III. + C IV. + C

Use the table below to determine dx.Indicate the formula number employed. I. + C II. + C III. + C IV. + C

The population of a town has exponential growth.In 1976 the population was 10,000 and in 1986 it was 20,000.If N is the population at time t,where t is the number of years after 1976,and if you assume than ln 2 = 0.7,then

If 55% of the initial amount of a radioactive sample remains after 10 hours,find the decay constant and the half-life of the element.

Use the table below to determine dx.Indicate the formula number employed. I. + C II. + C III. + C IV. + C

Determine if converges or diverges.If it converges,to what number does it converge?

Use the trapezoidal rule with n = 4 to estimate the value of

Solve the differential equation y' = (2x + 1)subject to the condition that y(-1)= .

Use the formula = - ln + C to find .

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

The amount A of glucose present in the bloodstream at any time t is governed by the differential equation where R and k are constants.Find A as a function of t.