Sheet No (1) 1- Evaluate 1+ 4xy dxdy (b) rsin'0 dedr dydx 2- Calculate the following double integrals (6x*y – 5y*)dA R = {(x, y)|0 sxs 3,0sys1) cos(x + 2y)dA R={(x,y)l0 sxs7,0 sys (b) R (e) R xsin(x +...

Extracted text: Sheet No (1) 1- Evaluate 1+ 4xy dxdy (b) rsin'0 dedr dydx 2- Calculate the following double integrals (6x*y – 5y*)dA R = {(x, y)|0 sxs 3,0sys1) cos(x + 2y)dA R={(x,y)l0 sxs7,0 sys (b) R (e) R xsin(x + y)dA R=[0, [0," 3 (a) Find the volume of the solid that lies under the plane 3x+ 2y + z = 12 and above rectangularR R = {(x, y)|0 s xs 1,0 sys (b) Find the volume of the solid in the first octant bounded by the cylinder z = 16 - x² And the plane y=5 (4) Evaluate (a) JJ xy² dxdy +2y) dydx