= (a) Recall from class that F (eikx (eika) √2nd(w – k). If then find the complex number A and the function G(w). Use I

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A Recall From Class That F Eikx Eika 2nd W K If Then Find The Complex Number A And The Function G W Use I 1 (108.73 KiB) Viewed 30 times

= (a) Recall from class that F (eikx (eika) √2nd(w – k). If then find the complex number A and the function G(w). Use I for the imaginary unit ✓-1 and delta for the function. A = G(w) = (b) Let 2 f(x) 71% ·∞ wsin(wx) 25+w2 ㅠ Find f(x). Hint: Consider the Fourier sine transform of f(x), and try functions of the form f(x) = ∞ W 6° ax sin(wx) dx = a² +w² 2 f(x) = (c) Hence evaluate w sin(wx) 25+w2 Give your answer correct to 2 decimal places. = F(cos(5x - 5)) = REP e (A8(w-5) + AG(w)) dw for x > 0. -dw for exp(-ax). You can use for a > 0. x = -0.4.