I have a question in my book that states:(adsbygoogle = window.adsbygoogle || []).push({});

"T or F The natural domain of f(x,y,z) = sqrt(1-x^2-y^2) is a disk of radius 1 centered at the origin in the xy-plane."

This is F as the graph is an infinite solid cylinder. But I can't visualize it. If I let f(x,y,z) be z, and square both sides, I get:

x^2 + y^2 + z^2 = 1 which is the graph of a sphere centered at the origin, right?

Not sure where the 'solid cylinder' comes in...

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# Homework Help: Visualizing 3d graph of two variables

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