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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!