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

I'm not grasping how to convert a surface with known rectangular graph to a parametric surface (using some polar techniques, I assume). I would appreciate it if someone could clarify the conversion process.

One of the examples is as follows:

A sphere [itex]x^{2}+y^{2}+z^{2}=a^{2}[/itex] is parametrized by [itex]\sqrt{a^{2}-u^{2}}cos(v)\hat{i}+\sqrt{a^{2}-u^{2}}sin{v}\hat{j}+u\hat{k}[/itex]

2. Relevant equations

None.

3. The attempt at a solution

I tried converting the terms using the spherical coordinates: [itex]sin^{2}(\phi)cos^{2}(\theta)+sin^{2}(\phi)sin^{2}(\theta) + cos^{2}(\phi)=a[/itex]

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# Homework Help: Parametric Surfaces: rectangular and polar coordinates

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