Question 1

Sketch the graph of the function.

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Compute the integral.

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B)   
C)   
D)   
E)

Question 3

Write the integral with the order of integration reversed (changing the limits of integration as necessary).

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B)   
C)   
D)   
E)

Question 4

Calculate  when defined.

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B)   
C)   
D)   
E)

Question 5

If positive electric charges of  and  coulombs are situated at positions  and  , respectively, then the force of repulsion they experience is given by  where  ,  is given in newtons, and all positions are measured in meters. Assume that a charge of 8 coulombs is situated at the origin and that a second charge of 15 coulombs is situated  and moving in the  direction at 1.4 meters per second. How fast is the electrostatic force it experiences decreasing? NOTE: Please enter your answer without the units. Round the answer to the nearest trillion.

Accepted Answer

The answer of If positive electric charges of  and...

Question 6

Find  , where  and R is the indicated domain. (Remember that you often have a choice as to the order of integration.)

Accepted Answer

A) 3,937 
B) 7,873 
C) 729 
D) 488,138 
E) 5,905

Question 7

Match between columns
                        Premises: relative minimum
saddle point
relative maximum
none

Accepted Answer

The Answer of <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBX8650/11ebfe6a_2cff_28c6_96cc_d34a42600162_TBX8650_11.jpg" alt=" " class="answers-bank-image d-inline" rel="preload" is...

Question 8

Solve the given problem by using substitution. Minimize  subject to  with  .

Accepted Answer

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B)   
C)   
D)   
E)

Question 9

Locate the local maximum of the function.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 10

Calculate  when defined.

Accepted Answer

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B)   
C)   
D)   
E)

Question 11

For the function  show the cross section at  .

Accepted Answer

A)   
B)   
C)   
D)

Question 12

The burden of human made aerosol sulfate in the earth s atmosphere, in grams per square meter, is  where x is the total weight of aerosol sulfate emitted into the atmosphere per year and n is the number of years it remains in the atmosphere. A is the surface area of the earth, approximately  square meters. Calculate the burden given the 1995 estimated values of  grams per year and  days. Enter the number of grams per square meter as a number without the units. Round to three decimal places.

Accepted Answer

A) 0.168 grams per square meter 
B) 0.081 grams per square meter 
C) 0.040 grams per square meter 
D) 14.706 grams per square meter 
E) 1.048 grams per square meter

Question 13

Use the given tabular representation of the function f to compute f (5, 10)- f (10, 5)..

Accepted Answer

The answer of Use the given tabular representation of the...

Question 14

Your weekly cost (in dollars)to manufacture  cars and  trucks is given by  Find  NOTE: Please enter your answers without the units, separated by commas.

Accepted Answer

The answer of Your weekly cost (in dollars)to manufacture ...

Question 15

Sketch the graph of the function.

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Evaluate  for

Accepted Answer

The answer of Evaluate  for ...

Question 17

A productivity model at the Handy Gadget Company is  where P is the number of gadgets the company turns out per month, x is the number of employees at the company, and y is the monthly operating budget in thousands of dollars. Because the company hires part - time workers, it uses anywhere between 39 and 49 workers each month, and its operating budget varies from $15,000 to $19,000 per month. What is the average of the possible numbers gadgets it can turn out per month? (Round the answer to the nearest 1000 gadgets.)Please enter your answer as a number without the units.

Accepted Answer

The answer of A productivity model at the Handy Gadget...

Question 18

Match between columns
                        Premises: saddle point
local maximum
none

Accepted Answer

The Answer of R and P and Q is...

Question 19

Solve the given problem by using substitution. Find the maximum value of  subject to  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 20

Graph the function.

Accepted Answer

A)   
B)   
C)   
D)

Exam 8: Functions of Several Variables

Sketch the graph of the function.

Compute the integral.

Write the integral with the order of integration reversed (changing the limits of integration as necessary) .

Calculate when defined.

Find , where and R is the indicated domain. (Remember that you often have a choice as to the order of integration.)

In the table below, classify each highlighted value. Choose the correct letter for each question.

Solve the given problem by using substitution. Minimize subject to with .

Locate the local maximum of the function.

Calculate when defined.

For the function show the cross section at .

Use the given tabular representation of the function f to compute f (5, 10)- f (10, 5)..

Your weekly cost (in dollars)to manufacture cars and trucks is given by Find NOTE: Please enter your answers without the units, separated by commas.

Sketch the graph of the function.

Evaluate for

Classify each labeled point on the graph. Choose the correct letter for each question.

Solve the given problem by using substitution. Find the maximum value of subject to .

Graph the function.