The wave function ψ(x,t) = A[e^{i(kx - ωt)} - e^{i(3kx - 9ωt)}] is a one-dimensional function of a free particle in space. The constants k and ω are positive and real. i) Determine the least positive value of x that gives a maximum in the probability function |ψ(x,t)|² at t = 0. ii) Determine the least positive value of x that gives a maximum in the probability function |ψ(x,t)|² at t = 4π/ω.