Maximizing Area In An Ellipse

Calculus Level 4

Consider the ellipse:
x212+y24=1. \frac{x^2}{12} + \frac{y^2}{4} = 1.

What is the maximum area of a triangle ABCABC, whose vertices are on the circumference of the ellipse?


Before trying this you may try this to approach the problem with a different perspective.
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