Question 1

Locate the local maximum of the function.

Accepted Answer

A) (0, 0, 0) 
B) (- 4, 4, -32) 
C) ( 4, 2, -32) 
D) (- 4, - 2, 0) 
E) (4, 4, -32) 
A) (0, 0, 0) 
B) (- 4, 4, -32) 
C) ( 4, 2, -32) 
D) (- 4, - 2, 0) 
E) (4, 4, -32)

Question 2

Sketch the graph of the function.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 3

Match between columns
                        Premises: 11ebfe6a_2cfc_de8c_96cc_23dc7f2ccaa1_TBX8650_11

Accepted Answer

The Answer of 11ebfe6a_2cfc_de8e_96cc_b56c19871be5_TBX8650_11 and 11ebfe6a_2cfc_de8f_96cc_97f71d8ca9b1_TBX8650_11 and 11ebfe6a_2cfc_de8d_96cc_938bdb738a33_TBX8650_11 is...

Question 4

Compute the integral.

Accepted Answer

A) -3.0 
B) -216 
C) -432 
D) 108 
E) -72 
A) -3.0 
B) -216 
C) -432 
D) 108 
E) -72

Question 5

How many critical points does the function have?

Accepted Answer

A) three 
B) one 
C) two 
D) four 
E) none 
A) three 
B) one 
C) two 
D) four 
E) none

Question 6

Graph the function.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

Calculate   and evaluate each at   .   Enter your answers, separated by a comma.

Accepted Answer

The answer of Calculate   and evaluate each at...

Question 8

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

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

Let   . By what value is   increased if   is increased by 1?

Accepted Answer

The answer of Let   . By what value...

Question 10

For the function   show the cross section at   .

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 11

Locate the local minimum of the function.   Express your answer as an ordered triple.

Accepted Answer

The answer of Locate the local minimum of the function....

Question 12

Locate the saddle point of the function.

Accepted Answer

A) (3, 1, -10) 
B) (6, 1, - 1) 
C) (6, 1, -10) 
D) (3, 0, -10) 
E) (6, 0, -10) 
A) (3, 1, -10) 
B) (6, 1, - 1) 
C) (6, 1, -10) 
D) (3, 0, -10) 
E) (6, 0, -10)

Question 13

The temperature at the point   on the square with vertices (0, 0), (0, 1), (1, 0)and (1, 1)is given by   Find the hottest and coldest points on the square. NOTE: Please enter your answers in the form   , separated by commas.

Accepted Answer

The answer of The temperature at the point  ...

Question 14

Calculate   when defined.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 15

Graph the function.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Sketch the graph of the function.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 17

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

Accepted Answer

The answer of Find   when defined.  ...

Question 18

Let   What condition on H guarantees that f has a relative extremum at the point ( a, b )?

Accepted Answer

The answer of Let   What condition on H...

Question 19

Your company manufactures two models of stereo speakers, the Ultra Mini and the Big Stack. Demand for each depends partly on the price of the other. If one is expensive then more people will buy the other. If p 1 is the price per pair of the Ultra Mini and p 2 is the price of the Big Stack, demand for the Ultra Mini is given by   where q 1 represents the number of pairs of Ultra Minis that will be sold in a year. The demand for the Big Stack is given by   Find the prices for the Ultra Mini and the Big Stack that will maximize your total revenue. Round your answer to the nearest dollar.

Accepted Answer

A) $1379 for Ultra Mini and $1083 for Big Stack 
B) $1083 for Ultra Mini and $1379 for Big Stack 
C) $1236 for Ultra Mini and $1364 for Big Stack 
D) $1364 for Ultra Mini and $1136 for Big Stack 
E) $1136 for Ultra Mini and $1364 for Big Stack 
A) $1379 for Ultra Mini and $1083 for Big Stack 
B) $1083 for Ultra Mini and $1379 for Big Stack 
C) $1236 for Ultra Mini and $1364 for Big Stack 
D) $1364 for Ultra Mini and $1136 for Big Stack 
E) $1136 for Ultra Mini and $1364 for Big Stack

Question 20

Compute the integral.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Locate the local maximum of the function.

Sketch the graph of the function.

Compute the integral.

How many critical points does the function have?

Graph the function.

Calculate and evaluate each at . Enter your answers, separated by a comma.

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

Let . By what value is increased if is increased by 1?

For the function show the cross section at .

Locate the local minimum of the function. Express your answer as an ordered triple.

Locate the saddle point of the function.

The temperature at the point on the square with vertices (0, 0), (0, 1), (1, 0)and (1, 1)is given by Find the hottest and coldest points on the square. NOTE: Please enter your answers in the form , separated by commas.

Calculate when defined.

Graph the function.

Sketch the graph of the function.

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

Let What condition on H guarantees that f has a relative extremum at the point ( a, b )?

Compute the integral.

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

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Exam 8: Functions of Several Variables

Locate the local maximum of the function.

Sketch the graph of the function.

Compute the integral.

How many critical points does the function have?

Graph the function.

Calculate and evaluate each at . Enter your answers, separated by a comma.

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

Let . By what value is increased if is increased by 1?

For the function show the cross section at .

Locate the local minimum of the function. Express your answer as an ordered triple.

Locate the saddle point of the function.

The temperature at the point on the square with vertices (0, 0), (0, 1), (1, 0)and (1, 1)is given by Find the hottest and coldest points on the square. NOTE: Please enter your answers in the form , separated by commas.

Calculate when defined.

Graph the function.

Sketch the graph of the function.

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

Let What condition on H guarantees that f has a relative extremum at the point ( a, b )?

Compute the integral.

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