- #1
Andy13
- 16
- 0
I have a couple of questions, but probably only need one worked out to figure out the rest.
1. Find a function f(x,y,z) whose level surface f=8 is the graph of the function 3x+4y
=> I know that a level surface for f(x,y,z) is the solution to f(x,y,z)=k. However, now I'm stuck. I know how two draw or identify level surfaces when they're given, but I don't know what this question is asking.
Solutions that I have tried that don't make sense:
3x+4y=8
3x+4y-z=8
A couple of other shots in the dark
...eh?
2. a)Given f(x,y)= sqrt(16-x^2), find level surface of g(x,y,z)=c representing f(x,y).
b) c=?
=> f(x,y) is obviously half a cylinder of r=4, but again I can't visualize what the question asks.
Thanks!
1. Find a function f(x,y,z) whose level surface f=8 is the graph of the function 3x+4y
=> I know that a level surface for f(x,y,z) is the solution to f(x,y,z)=k. However, now I'm stuck. I know how two draw or identify level surfaces when they're given, but I don't know what this question is asking.
Solutions that I have tried that don't make sense:
3x+4y=8
3x+4y-z=8
A couple of other shots in the dark
...eh?
2. a)Given f(x,y)= sqrt(16-x^2), find level surface of g(x,y,z)=c representing f(x,y).
b) c=?
=> f(x,y) is obviously half a cylinder of r=4, but again I can't visualize what the question asks.
Thanks!