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Use $cos(t)$ and $sin(t)$, with positive coefficients, to parametrize the intersection of the surfaces $x^2+y^2=36$ and $z=6x^3$.

I have found $<6cos(t), 6sin(t)>$, but I haven't pined down $z$. I have tried $6(\sqrt{36-t^2})^3$ and $6(cos(t))^3$

NeedHelp
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  • Are you just guessing? You’ve already come up with a parameterization for $x$. Use it. – amd Apr 19 '19 at 05:09

1 Answers1

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Hint: What do get if you substitute $\ 6\cos\left(t\right)\ $ for $\ x\ $ in the equation $\ z=6 x^3\ $?

lonza leggiera
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