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In Figure, AOBA is the part of the elli...

In Figure, AOBA is the part of the ellipse `9x^2+y^2=36`in the first quadrant such that `O A = 2 a n d O B = 6`. Find the area between the arc AB and the chord AB.

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To find the area between the arc AB and the chord AB of the ellipse given by the equation \(9x^2 + y^2 = 36\) in the first quadrant, we will follow these steps: ### Step 1: Rewrite the equation of the ellipse We start with the equation of the ellipse: \[ 9x^2 + y^2 = 36 \] To rewrite this in standard form, we divide both sides by 36: ...
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