Find Uave, Umax, and D if: (a) U(, ) = sin2 2, 0 < 0 < , 0 < 0 < 2 (b) U(, )

Find Uave, Umax, and D if:
(a) U(θ, Φ) = sin2 2θ, 0 < 0 < π, 0 < 0 < 2π
(b) U(θ, Φ) = 4 esc2 2θ, π/3 < 0 < π/2, 0 < Φ < π
(c) U(θ, Φ) = 2 sin2θ sin2 Φ, 0 < θ < π, 0 < Φ < π