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

Find the surface area of the ellipsoid (x/a)^2 + (y/a)^2 + (z/b)^2 = 1.

2. Relevant equations

IfG(u,v) is a map from R2 to R3 that parametrizes the surface, then the area of the surface is equal to the double integral over the domain ofGof the norm of the cross product of ∂_{u}Gand ∂_{v}G.

3. The attempt at a solution

Well, I can see that we can parametrize the surface with aGwhose domain is the circle x^2 + y^2 = a^2. I've tried using polar coordinates, I've tried first transforming it into a sphere and then into polar coordinates, but I just can't seem to get an integral that I can work with.

If someone could perhaps give me a push in the right direction (maybe a parametrization to try out), I would really appreciate it.

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# Homework Help: Multivariable Calc Problem (Surface Area/Integral)

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