Be as thorough as possible and explain each step. Provide any necessary graphs.

STATE AND ONLY USE STOKES' THEOREM

SHOW ALL WORK IN POLAR COORDINATES

(45) State and illustrate Stokes' Theorem using F(=v,y,2) =( 21w, wyz, y2+2> on the surface 21:2 + y2 = 1, :1: 2 0,1; 2 0,0 g z 3 2 joined to the portion of the circle at z = 2, x2+y2 g 1,:c20,y2 0