Classify each of the following signals as an energy signal, a power signal, or neither.
(a) \(\exp (0.5 \mathrm{t})(t \geq 0)\)
(b) \(\exp (-0.5 t), \quad(t \geq 0)\)
(c) \(\cos t+\cos 2 t(-\infty
(d) \(e^{-a|t|},(a>0)\)

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TABLE 1.4 Fourier Transform Properties. Name Time Domain Frequency Domain Linearity ax, (t) + bx (t) a X (a) + b X, (a) Time scaling a X(aw) Time shift x(tt) X(0) Complex shift x(t) Time reversal X(-1) Convolution Multiplication Differentiation d" -x(1) di" X,(!)x(1) x(1)x x-(1) X(a-w) X(-1) X (w)X(w) (1/2x)X(w) X,(w) (ja)*X(0) Integration [x(u) du X(0) +xX(0)8(0) joo Time multiplication d tx(t) X(00) des Energy; Parseval's theorem Duality X(t)(1/2)X(-) 1 2X() de 2. 2xX(-): X()