Question 1

Sketch the graph of the function.

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Question 2

Compute the integral.

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Question 3

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

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Question 4

Calculate   when defined.

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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  ...

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 
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 11ebfe6a_2cff_28c6_96cc_d34a42600162_TBX8650_11 and 11ebfe6a_2cff_01af_96cc_e14b9d603d89_TBX8650_11 and 11ebfe6a_2cff_4fdd_96cc_614207ea470a_TBX8650_11 and 11ebfe6a_2cff_01b0_96cc_171507fd74f7_TBX8650_11 is...

Question 8

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

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Question 9

Locate the local maximum of the function.

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Question 10

Calculate   when defined.

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Question 11

For the function   show the cross section at   .

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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 
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

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B)    
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D)    
A)    
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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   .

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Question 20

Graph the function.

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D)

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.)

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

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

Graph the function.

Functions and Linear Models

Nonlinear Functions and Models

Introduction to the Derivative

Techniques of Differentiation With Applications

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Trigonometric Models

Filters

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.)

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

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

Graph the function.

Functions and Linear Models

Nonlinear Functions and Models

Introduction to the Derivative

Techniques of Differentiation With Applications

Further Applications of the Derivative

The Integral

Further Integration Techniques and Applications of the Integral

Trigonometric Models

Filters