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Find the area enclosed by the ellipse x2144+y2256=1.x2144+y2256=1. Hint 1: Area can be found using the...

Find the area enclosed by the ellipse x2144+y2256=1.x2144+y2256=1.

Hint 1: Area can be found using the double integral ∫∫DdA. Find P and Q so that ∂Q/∂x−∂P/∂y=1, then use Green's Theorem to get ∫∫DdA=∫∫D(∂P∂x−∂Q∂y)dA=∫CPdx+Qdy.

Hint 2: Any P and Q such that ∂Q/∂x−∂P/∂y=1 will work, but P=−y/2 and Q=x/2 will give you the simplest integral.

The area of the ellipse is?

The area of the ellipse is

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