Question

Find the average value of the function ?(x, y) = x + y + x2 + y2 over the disk 0 ? x2 + y2 ? 4.

Answer 1

average altitude of the landscape) over some region? ... value, the actual average height of the surface. ... 386 Chapter 15 Multiple Integration c y1 y2 y3 d. a x1 x2 x3 x4 x5 b. ∆x. ∆y.

Answer 2

y=0 y x + 1 dy dx. (Fubini). = ∫ x=2 x=0. [1. 2 y2 x + 1. ]y=4 y=0 dx = ∫ x=2 x=0. 8 x + 1 ..... What is the average value of the linear function f(x, y) ... π, where D is the disc x2 +y2  .