Question 5

In this activity, you will work through a proof of a special case of Greeals The orem. In this special case: we only.r consider regions R enclosed by a simple closed smooth curve C oriented in the counterclockwise direction, such that the region can be expressed in two ways " R: {[319}: '3 E E E b1lii} i: y E 92(3)} 01' I R={[2'.,y]|= H1{y}EIEH2{yLCEyE-i} Under these conditions, we prove the circulation form of Green's Theorem: Mm -fl(3:-3-Dd We begin by splitting up the double integral and analyzing each piece. mesQM 11% we 1. Show that I, ada = [ (s(z. G2( z) - f(x, G.(z) de 2. Notice that, over the interval a