Question 1

List the graphical transformations,in the correct order,that must be done to y = f(x)to produce the graph of y = 2f(x + 3)- 5.

Accepted Answer

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Question 2

Given the function P(r,k)=  
,r = 0,1,2,...,k; find P(2,4).

Accepted Answer

The answer of Given the function P(r,k)=  
,r =...

Question 3

An equation of the plane that is parallel to the x,y-plane and that passes through (2,7,3)is
A) x = 2.
B) y = 7.
C) z = 3.
D) x = 7.
E) y = 3.

Accepted Answer

Since the plane is parallel to the x,y-plane, its normal vector is perpendicular to the x,y-plane and has a direction parallel to the z-axis. Therefore, any point on the plane has a z-coordinate of 3. Thus, the equation of the plane is z=3.

Question 4

If f(p,q)= 3  
- 2q+ p,find f(-1,2).

Accepted Answer

The answer of If f(p,q)= 3  
- 2q+ p,find...

Question 5

Sketch the surface 3x + y + 2z = 6.

Accepted Answer

The answer of Sketch the surface 3x + y +...

Question 6

Sketch the surface x + y = 3.

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The answer of Sketch the surface x + y =...

Question 7

The Cobb-Douglas production function for a company is given by P = 70  
  
where P is the monthly production value when k is the amount of the company's capital investment (in dollars per month)and l is the size of the labor force (in work hours per month).What is the production value when l = 2401 hours and k = $10,000 per month?

Accepted Answer

The answer of The Cobb-Douglas production function for a company...

Question 8

Given h(r,s,t,u)=  
,find h(2,3,2,15).

Accepted Answer

The answer of Given h(r,s,t,u)=  
,find h(2,3,2,15)....

Question 9

List the graphical transformations,in the correct order,that must be done to y = f(x)to produce the graph of y = -f(x - 5)+ 4.

Accepted Answer

The answer of List the graphical transformations,in the correct order,that...

Question 10

Find an equation of the plane that is parallel to the x,z-plane and that passes through the point (-3,2,5).

Accepted Answer

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Question 11

The Cobb-Douglas production function for a company is given by P = 20  
  
where P is the monthly production value when k is the amount of the company's capital investment (in dollars per month)and l is the size of the labor force (in work hours per month).What is the production value when l = 1728 hours and k = $27,000 per month?

Accepted Answer

The answer of The Cobb-Douglas production function for a company...

Question 12

If f(x,y,z)=  
,find f(1,2,-3).

Accepted Answer

The answer of If f(x,y,z)=  
,find f(1,2,-3)....

Question 13

Find an equation of the plane that is parallel to the x,y-plane and that passes through the point (2,-6,4).

Accepted Answer

The answer of Find an equation of the plane that...

Question 14

The Parkers are borrowing $120,000 to buy a house.Their monthly payment amount is given by  
where r is the monthly interest rate and n is the number of months.What is the Parker's monthly payment if they get:
(a)a 30-year loan at 9% annual interest?
(b)a 20-year loan at 10% annual interest?

Accepted Answer

The answer of The Parkers are borrowing $120,000 to buy...

Question 15

An equation fo the plane that is parallel to the y,z-plane and that passes through (4,6,9)is
A) x = 4.
B) y = 6.
C) z = 9.
D) x = 6.
E) z = 4.

Accepted Answer

A plane parallel to the yz-plane has a constant x-value. Since the plane passes through (4,6,9), the equation is x = 4.

Question 16

Given f(x,y)=  
- yx,find f(u + v,u - v).

Accepted Answer

The answer of Given f(x,y)=  
- yx,find f(u +...

Question 17

Find an equation of the plane that is parallel to the y,z-plane and that passes through the point (1,2,3).

Accepted Answer

The answer of Find an equation of the plane that...

Quiz 3: Functions and Graphs

List the graphical transformations,in the correct order,that must be done to y = f(x)to produce the graph of y = 2f(x + 3)- 5.

Given the function P(r,k)= ,r = 0,1,2,...,k; find P(2,4).

An equation of the plane that is parallel to the x,y-plane and that passes through (2,7,3) is

If f(p,q)= 3 - 2q+ p,find f(-1,2).

Sketch the surface 3x + y + 2z = 6.

Sketch the surface x + y = 3.

Given h(r,s,t,u)= ,find h(2,3,2,15).

List the graphical transformations,in the correct order,that must be done to y = f(x)to produce the graph of y = -f(x - 5)+ 4.

Find an equation of the plane that is parallel to the x,z-plane and that passes through the point (-3,2,5).

If f(x,y,z)= ,find f(1,2,-3).

Find an equation of the plane that is parallel to the x,y-plane and that passes through the point (2,-6,4).

The Parkers are borrowing $120,000 to buy a house.Their monthly payment amount is given by where r is the monthly interest rate and n is the number of months.What is the Parker's monthly payment if they get: (a)a 30-year loan at 9% annual interest? (b)a 20-year loan at 10% annual interest?

An equation fo the plane that is parallel to the y,z-plane and that passes through (4,6,9) is

Given f(x,y)= - yx,find f(u + v,u - v).

Find an equation of the plane that is parallel to the y,z-plane and that passes through the point (1,2,3).