Question

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

Answer #1

Find the area enclosed by the ellipse x^2/a^2 + y^2/b^2 = 1.
What happens when a = b.

for my high school, I need to know how to Express the area
enclosed by the ellipse x = 2 cos t, y = 4 sin t, 0 ≤ t ≤ 2π as a
definite integral in terms of t. and how to Evaluate this integral.
and please explain very neatly so I can practice for my AP.

Using both type 1 and type 2 region evaluate double
integral §§R (2x - 1)dA with R enclosed by y + x - 1=0 , y - x = 1
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5. find the area loop of the...

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1- Find the area enclosed by the given curves.
Find the area of the region in the first quadrant bounded on the
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URGENT
Can someone answer these two questions within the next hour?
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equation x 2/ a 2 + y 2 /b 2 = 1 is πab.
Use Stokes’ Theorem to compute Z C F~ · d~s where F~ (x, y,...

Find the area of the region enclosed by y = (x + 2)^2 , y = 1 x
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(1 point) Find the area of the region enclosed between y=3sin(x)
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