Given the following functions x(t) = 2δ(t), y(t) = 4u(t), z(t) = e-2t u(t), evaluate the following convolution operations.
(a) x(t) * y(t).
(b) x(t) * z(t).
(c) y(t) * z(t).
(d) y(t) * [y(t)+ z(t)]
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