Let w(t) u(t) iv(t) denote a continuous complex valued function defined on an interval a curren t curren a (a) Suppose that w(t) is even that is, w(t) w(t) for each point t in the given interval Show that (b) Show that if w(t) is an odd function, one where w(t) w(t) for each point t in the given interval, then w(t) dt 0

Question: Let w(t) = u(t) + iv(t) denote a continuous complex-valued function defined on an interval a ¤ t ¤ a. (a) Suppose that w(t) is

Let w(t) = u(t) + iv(t) denote a continuous complex-valued function defined on an interval ˆ’a ‰¤ t ‰¤ a.
(a) Suppose that w(t) is even; that is, w(ˆ’t) = w(t) for each point t in the given interval. Show that

(b) Show that if w(t) is an odd function, one where w(ˆ’t) = ˆ’w(t) for each point t in the given interval, then

w(t) dt = 0.

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