(A) Find the average values of the functions f(x,y) = x + y, g(x,y) = x2 + y2, and h(x,y) = x3 + y3 over the rectangle
R = {(x,y)0 ≤ x ≤ 1, 0 ≤ y ≤ 1}
(B) Does the average value of k(x,y) = xn + yn over the rectangle
R1 = {(x,y)|0 ≤ x ≤ 1 , 0 ≤ y ≤ 1}
(C) Doest the average value of (x,y) = xn + yn
R2 = {(x,y)|0 ≤ x ≤ 2, 0 ≤ y ≤ 2}
Increase or decrease as n increase? Explain.