Given the causal full-wave rectified signal x(t) = sin(2t)u(t) (a) Find the even component of x(t), call

Given the causal full-wave rectified signal x(t) = ∣sin(2πt)∣u(t)

(a) Find the even component of x(t), call it x_e(t) and plot it. Is x_e(t) periodic? if so, what is its fundamental period T_e? Would the odd component of x(t) or x_o(t) be periodic too?

(b) Are x_e(t) and x_o(t) causal signals? Explain.