Question: Exercise 4. Consider the vector field vec(F)=xhat()+yhat().(a) Use the divergence theorem to show that the flux of vec(F) through any closed curve is two timesthe

Exercise 4. Consider the vector field vec(F)=xhat()+yhat().(a) Use the divergence theorem to show that the flux of vec(F) through any closed curve is two timesthe area enclosed by that curve.(b) Use part (a)to find the total area of the region R, enclosed by the following ellipse:x232+y242=1vec(F) through the ellipse, you will need to start with aparametrization.x=3u,y=4vto evaluate RdA.(d) Make an educated guess for a formula for the area of the region enclosed byan ellipse x2a2+y2b2=Explain the reasoning behind your guess.

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