f1(x,y) = x2-y2, f2(x,y) = sqrt(x2+y2), f3(x,y) = x^2+y^2, f

[koalamath]

Problem:

a) Match the following functions with their graphs. Explain your choice.
f1 (x,y) = x2 – y2
f2 (x,y) = ?(x2 + y2)
f3 (x,y) = x2 + y2
f4 (x,y) = x - y + 1
Choices: A-plane, B-hemisphere, C-paraboloid, D-hyperbolic paraboloid

b) Find the domains of these functions and match them with the boundaries of their domains. Explain your choice:
f1 (x,y,z) = xyln(z)
f4 (x,y,z) = (xyz)/(ln(x2+y2+z2))
Choices: C-plane, D-point

 

[Deleted member 4993]

Re: help

Problem:

a) Match the following functions with their graphs. Explain your choice.
f1 (x,y) = x2 – y2
f2 (x,y) = ?(x2 + y2)
f3 (x,y) = x2 + y2
f4 (x,y) = x - y + 1
Choices: A-plane, B-hemisphere, C-paraboloid, D-hyperbolic paraboloid

b) Find the domains of these functions and match them with the boundaries of their domains. Explain your choice:
f1 (x,y,z) = xyln(z)
f4 (x,y,z) = (xyz)/(ln(x2+y2+z2))
Choices: C-plane, D-point

Please show us your work - indicating exactly where you are stuck - so that we where to begin to help you.

 

[Deleted member 4993]

Re: help

Problem:

a) Match the following functions with their graphs. Explain your choice. << where are those??
f1 (x,y) = x2 – y2
f2 (x,y) = ?(x2 + y2)
f3 (x,y) = x2 + y2
f4 (x,y) = x - y + 1
Choices: A-plane, B-hemisphere, C-paraboloid, D-hyperbolic paraboloid

b) Find the domains of these functions and match them with the boundaries of their domains. Explain your choice:
f1 (x,y,z) = xyln(z)
f4 (x,y,z) = (xyz)/(ln(x2+y2+z2))
Choices: C-plane, D-point

Please show us your work - indicating exactly where you are stuck - so that we where to begin to help you.