Question 1

Match between columns
                        Premises: <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBX8650/11ebfe6a_2cfc_b776_96cc_473effda90d8_TBX8650_11.jpg" alt=" " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

The Answer of <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBX8650/11ebfe6a_2cfc_b778_96cc_cb17d3ae755d_TBX8650_11.jpg" alt=" " class="answers-bank-image d-inline" rel="preload" is...

Question 2

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

Accepted Answer

A)   
B)   
C)   
D)   
E)    E

Question 3

For the function  find  . Round to the nearest whole number if necessary.

Accepted Answer

A)  11
B)  10
C)  12
D)  13
E)  17 B

Question 4

For the function  find  .

Accepted Answer

A)  384
B)  422
C)  794
D)  397
E)  410

Question 5

Calculate  when defined.  Enter your answers, separated by a comma.

Accepted Answer

The answer of Calculate  when defined.  Enter your...

Question 6

Compute the integral.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 7

Cobb-Douglas productivity functions have the form  where P stands for the number of items produced per year, x is the number of employees, and y is the annual operating budget. The numbers K and a are constants that depend on the situation we are looking at, with  How many items will be produced per year by a company that has 200 employees and an annual operating budget of $100,000 if K = 1,000 and a = 0.6? (Round your answer to one significant digit.)

Accepted Answer

The answer of Cobb-Douglas productivity functions have the form ...

Question 8

Calculate  when defined.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 9

Your latest CD - ROM drive is expected to sell between  units if priced at p . You plan to set the price between $300 and $400. What are the maximum and minimum possible revenues you can make? What is the average of all the possible revenues you can make?

Accepted Answer

A)  $36,000,000, $8,000,000, $24,500,000
B)  $33,600,000,000, $16,200,000,000, $402,500,000
C)  $84,000,000, $54,000,000, $409,500,000,000,000
D)  $62,910,000, $71,840,000, $1,570,000
E)  $33,600,000,000, $16,200,000,000, $159,500,000

Question 10

Graph the function.

Accepted Answer

A)   
B)   
C)   
D)

Question 11

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

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

Evaluate  for

Accepted Answer

The answer of Evaluate  for ...

Question 13

Find the point on the given plane closest to (1,1,0).  NOTE: Please enter your answer in the form ( x , y , z ).

Accepted Answer

The answer of Find the point on the given plane...

Question 14

Calculate  when defined.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

Use Lagrange Multipliers to solve the problem. Find the maximum value of  subject to  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 16

Calculate  when defined.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 17

Match between columns
                        Premises: <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBX8650/11ebfe6a_2cfd_05a3_96cc_9951a5c73ce3_TBX8650_11.jpg" alt=" " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

The Answer of <img src="https://d2lvgg3v3hfg70.cloudfront.net/TBX8650/11ebfe6a_2cfd_05a6_96cc_1352be1ff4de_TBX8650_11.jpg" alt=" " class="answers-bank-image d-inline" rel="preload" is...

Question 18

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

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

At what point on the given surface is the quantity  a minimum? (The method of Lagrange multipliers can be used here.)

Accepted Answer

A)  (-1, 0, 6) 
B)  (-1, 0, 8) 
C)  (-1, 0, 7) 
D)  (1, 0, 6) 
E)  (-3, 0, 5)

Question 20

Your weekly cost (in dollars)to manufacture x cars and y trucks is  What is the marginal cost of a car?

Accepted Answer

A)  $244,000
B)  $4,000
C)  $246,000
D)  $3,000
E)  $6,000

Exam 8: Functions of Several Variables

Calculate . Choose the correct letter for each question.

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

For the function find . Round to the nearest whole number if necessary.

For the function find .

Calculate when defined. Enter your answers, separated by a comma.

Compute the integral.

Calculate when defined.

Your latest CD - ROM drive is expected to sell between units if priced at p . You plan to set the price between $300 and $400. What are the maximum and minimum possible revenues you can make? What is the average of all the possible revenues you can make?

Graph the function.

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

Evaluate for

Find the point on the given plane closest to (1,1,0). NOTE: Please enter your answer in the form ( x , y , z ).

Calculate when defined.

Use Lagrange Multipliers to solve the problem. Find the maximum value of subject to .

Calculate when defined.

Calculate and evaluate them all at . Choose the correct letter for each question.

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

At what point on the given surface is the quantity a minimum? (The method of Lagrange multipliers can be used here.)

Your weekly cost (in dollars) to manufacture x cars and y trucks is What is the marginal cost of a car?