Consider the wave function at t = 0, ψ(x, 0) = c sin(3πx/2) cos(πx/2) on the interval 0 ≤ x ≤ 1.

(a.) compute the expectation value of x as a function of time for this ψ(x, t)
(b.) compute the expectation value of p as a function of time for ψ(x, t)
(c.) compare how 〈p〉 and 〈x〉 are related to what one would expect classically?
(d.) compute the expectation value of the energy as a function of time.