- #1

toforfiltum

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## Homework Statement

Equation of ellipsoid is:

##\frac{x^2}{4} + \frac{y^2}{9} + z^2 = 1##

First part of the question, they asked to graph the equation. I have a question about this, I know that ##-1\leq z \leq 1##. So what happens when the constant 1 gets smaller after minusing some value of ##z^2##? Does it's "radius" get smaller?

Second part of the question is:

Is it posiible to find a function ##f(x,y)## so that this ellipsoid may be considered to be the graph of ##z=f(x,y)##?

## Homework Equations

## The Attempt at a Solution

For the second part, I answered no, because the graph ##z=f(x,y)## is a function of the level curve of the graph of the ellipsoid.

Am I right?

Thanks.