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

Find a vector parameterization of the intersection of the surfaces x^{2}+y^{4}+2z^{3}=6 and x=y^{2}inR^{3}.

3. The attempt at a solution

I let x=t.

Then y^{3}=t

I solved the first equation for z in terms of x

z = cube root ((t^{2}+(t(cube rt(t)) - 6)/-2)

I know this is wrong because I checked the back of the book, but I'm not sure how to do it correctly.

Thank you!

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# Homework Help: Vector parameterization of intersection of 2 surfaces

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