The question im looking at states:(adsbygoogle = window.adsbygoogle || []).push({});

Prove that the elliptical function x^2 + 3y^2=b is orthogonal to the cubic y=3ax^3.

I'm thinking they want me to prove if the functions are orthogonal when they intersect. If im correct that would just lead to;

For the ellipse,

2x+6y(m1)=0, m1=-x/3y, when they intersect: m1=-x/3(3ax^3)=-1/9ax^2

Cubic,

m2=9ax^2

m1xm2=[-1/9ax^2][9ax^2]=-1, Therefore they are orthogonal when they intersect.

Am I right here? Is this even what the question was asking for?

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# Cubic and Ellipse problem

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