Chapter 14, Problem 22E

Evaluate the following:

(a)    [δ(2t)]² at t = 1;

(b)    2δ(t − 1) + u(−t + 1) at t = 0;

(c)     $\frac{1}{3}{\displaystyle {\int }_{-0.001}^{0.003}\delta (t)dt;}$

(d)     $\frac{1}{2}{\left[{\displaystyle {\int }_{-\infty }^{\infty }\delta (t-1)dt}\right]}^2.$