Give a parametric representation of the following surfaces in terms of the given parameter variables:(adsbygoogle = window.adsbygoogle || []).push({});

a) The first octant portion of the sphere (x^2) + (y^2) + (z^2) = 16 in terms of the spherical variables theta and phi.

b)The graph of the function z = (x^3) - sqrt(y) in terms of the Cartesian variables x and y.

I'm not sure how to do these at all.

a) It's a sphere and theta ranges from 0 to pi/2. phi ranges from 0 to pi/2. Are the parametric equations just theta = t and phi = t, given that t ranges from 0 to pi/2? Or do we substitute x = psin(phi)cos(theta), etc. I'm really not sure what to do. Help.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Parametric Representation in Spherical and Cartesian coordinates

**Physics Forums | Science Articles, Homework Help, Discussion**