For real constants a b c and d, find average value of f on S

Problem 2. Below are contour diagrams for two functions f {on the left} and g (on the right), both dened on the region R consistng of all points {say} such that 3 3 :L' E 3 and 3 E y 5 3. The contours of both functions are circular arcs centered at (3,3); the contours shown in each picture are equally farther apart in heights and in the soyplane. The contours of both functions are identical, except that the two functions have different values on these contours. Answer the following questions (of course, enplat'n your reasoning). z = ay) z = May} L L -3 3 3 3 {e} Let S be the subregion of R consisting of all points (I, y) such that flc, y) 2 4. Assume that fff(z,y}dA=a, ffayld=h ff f(I'y]:9($'y)dA=c, ff f{==y};ry{$,yldA:d, R S R S for some real constants c, b, c, and 11. Find the (exact) average value of f on S