Compute the average value of the following function over the region r. f(x, y) = 7 sin x cos y r= { (x, y): 0 leq x leq pi/2, 0 leq y leq pi/3} bar f = (simplify your answer. type an exact answer, using radicals as needed. type your answer in factored form. use integers or fractions for any numbers in the expression.)

A)a square brown tarp has a square green patch green in the corner the side length of the tarp is (x + 8) and the side length of the patch is x what is the area of the brown part of the tarpb)a square red placemat has a gold square in the corner the side length of the gold square is (x - 2) inches with the width of the red region is 4 in what is the area of the red part of the placemat