## Answers

X = y/√(16-y^2)

as seen on Wolfram

http://www.wolframalpha.com/input/?i=x+%3D+y%2F√%2816-y%5E2%29

taking horizontal slices

Area = ∫( y/(16-y^2)^(1/2) dy from 0 to 3

= - (16-y^2)^(1/2) | from 0 to 3

= -(16-9)^(1/2) - (-16^(1/2))

= -√7 + 4

= 4-√7 = appr 1.35.

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