I just need help with part D(the last part).

(a) Set up, but do not evaluate, a double integral for the area of the surface with parametric equations x = au cos(v), y = bu sin(v), z = us, 0 S u s 2, 0 S v S 2n O A ( 5 ) = V 46 2 4 4 + 42 2 4 4 + 2 2b 2 4 2 du dv O A ( 5 ) = 46 2 4 4 cos 2 ( V ) + 42 2 4 4 sin ? ( v ) + 2 2 b 2 u 2 du dv O A ( 5 ) = 46 2 4 4 cos ( V ) + 42 2 4 4 sin ( V ) + 2 2 b 2 u 2 du dv O A ( 5 ) = ( 2 bu 2 + 2 au 2 + abu ) du dv O A ( 5 ) = ( 2bu 2 cos ( V ) + 2 au 2 sin = ( v ) + abu ) dudv (b) Eliminate the parameters to show that the surface is an elliptic paraboloid and set up another double integral for the surface area. O A ( 5 ) = V 1 + x / a 2 + y / b 2 dy dx O A ( 5 ) = 26 by/ 4 - ( x 2 /2 2 ) 1-20 J_ by/4 - (x 2 /2 2 ) V1 + 2x/a2+ 2y/b2 dy dx O A ( S ) = / V 1+ a+ 6 dy dx 2a by 4 - ( x2 / 2 2 ) O A ( 5 ) = Vi+ 2xa + 2yb dy dx - 2a J_ b /4 - ( x 2 /2 2 ) A ( S ) = - 20 by 4 - ( x 2 / 2 2 ) V 1 + ( 2x/2 2 ) 2 + ( 2y /b 2 ) 2 dy dx -by/ 4 - (x2/ 2 2 )(d) For the case a = 3, b = 5, use a computer algebra system to find the surface area correct to four decimal places. Need Help? Read It