Please answer to all questions with proper explanation step by step. Thankyou :)

(a) [6 marks] Sketch the region of integration and evaluate the following integral by 3. converting it to polar coordinates Hint: = rcos0, y r sin 0, dxdy Y rdrd(). (b) For the integral J 33 11 cosy i. [2 marks] Sketch the region of integration. ii. [2 marks] Reverse the order of integration. iii. [2 marks] Use the expression obtained in item 3(b)ii to evaluate the integral. 4. [6 marks] Use the Divergence Theorem to evaluate the flux integral F n CIA over the surface of a rectangular parallelepiped with dimensions 2 x 3 x 1 units if F (3:r2y3z5, 3!/, :ry3z6)