a. f(ρ,θ,ϕ)=ρcosϕf(\rho, \theta, \phi) = \rho cos\phif(ρ,θ,ϕ)=ρcosϕ, E={(ρ,θ,ϕ)∣0≤ρ≤2,0≤θ≤π/2,0≤ϕ≤π/4}E = \bigg\lbrace (\rho, \theta, \phi)|0 \le \rho \le 2, 0 \le \theta \le \pi/2, 0 \le \phi \le \pi/4\bigg\rbraceE={(ρ,θ,ϕ)∣0≤ρ≤2,0≤θ≤π/2,0≤ϕ≤π/4} b. ∫0π/2∫0π/4∫02cosϕρ3cosϕsenϕdρdϕdθ=75π24\int_0^{\pi/2}\int_0^{\pi/4}\int_0^{2cos\phi} \rho^3 cos\phi sen \phi d\rho d\phi d\theta = \frac{75\pi}{24}∫0π/2∫0π/4∫02cosϕρ3cosϕsenϕdρdϕdθ=2475π