The power radiated by two lossless antennas is 10 Watts (i.e., each antenna radiates 10 Watts). The directional characteristicsof the antennas are expressed by the radiation intensities:
U(θ,ϕ)=U₁ cos² (θ) and U(θ,ϕ)=U₂ cos³ (θ)
for (0≤θ≤π/2,0≤ϕ≤2π)
a) Determine U₁ and U₂