(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A given surface contains all points G such that the distance from G to the plane z=4 is double the distance from point G to the pt. (2, -3, 1). Find eqn for the surface.

2. Relevant equations

I thought the distance formula for a point to a plane would help, but I can tell that the equation is going to have to be that of a parabola.

3. The attempt at a solution

I've made at least 5 unsuccessful attempts, and have NO idea where to go from here.

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# Homework Help: Difficult multivariable problem to find equation for 3d surface

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