I really need help with math homework. Please and thank you!

Question

Find the average value of , on its domain.

Options:

1)	2π
2)	4π
3)	2
4)	4

Answer 1

The domain of the function is [-8,8]

The function is the upper half the circle, x^2 + y^2 =8^2,

i.e. the semicicle with center at 0 and radius 8

average y= ∫ydx / ∫dx over the domain = area of semicircle / [8 -(-8) ] = .5 π8²/16 = 2π

Answer is 1)