(a) Show that, if x(t) is an even function, so that x(t) = x( -t), then X(s) = X( -s)
Chapter 9, Problem 9.41(choose chapter or problem)
(a) Show that, if x(t) is an even function, so that x(t) = x( -t), then X(s) = X( -s). (b) Show that, if x(t) is an odd function, so that x(t) = - x( -t), then X(s) = -X(-s). (c) Determine which, if any, ofthe pole-zero plots in Figure P9.41 could correspond to an even f4nction of time. For those that could, indicate the required ROC.
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