Consider the signal v(t) given below.

Write a MATLAB script to do the following

(a) Display v(t) and v(2t-1) in window 1 by using subplot.

(b) Display both the even component and odd component of v(t) in window 2 by using subplot

(c) Verify if the system y(t) = sin (x(t)) is time invariant by displaying x₁(t) = v(t), y₁(t), x₂(t) = v(t - 2), and y₂(t) ) in window 3.

(d) Verify if the system y(t) = t sin (x(t)) is time-invariant by displaying x₁(t) = v(t), y₁(t), x₂(t) = v(t - 2), and y₂(t) ) in window 4.