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- Mar 26th 2009, 07:35 PMAlphaRockHow Do You Find The Maximum Area Of A Rectangle In An Eclipse?
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- Mar 26th 2009, 08:14 PMmollymcf2009
Area of a rectangle =

Equation of the ellipse =

First solve your ellipse equation for x.

....

Plug this into your area equation:

Take your derivative and put it = to zero. Solve. Then just plug in your value for y into the ellipse equation that you solved for x above and this will give you your dimensions of your rectangle with the largest area. Then just use your values to find an exact area.