Let A be the region : \left\{(x,\ y)|x\geq 0,\ y\geq 0, \left(\frac{x}{a}\right)^{\frac{1}{2}}\plus{}\left(\frac{y}{1\minus{}a}\right)^{\frac{1}{2}}\leq 1\right\} for 0<a<1.
(1) Find the area of A.
(2) Find the maximum volume of the solid obtained by revolving A around the x axis. calculusintegrationgeometryalgebrabinomial theoremcalculus computations