(a) Show that (10) implies (b) Solve Prob 8 by applying (a3) to the result of Prob 7 Data from Prob 7 Represent f(x) as an integral (10) (c) Verify (a2) for f(x) 1 if 0 x Icirc plusmn and f(x) 0 if x Icirc plusmn (d) Find formulas for the Fourier sine integral similar to those in (a) f(ax) a() cos ...

a Formula a1 Setting w p we have from 10 If we again write w i ...

(a) Show that (10) implies (b) Solve Prob. 8 by applying (a3) to the result of Prob....

Question:

(a) Show that (10) implies

f(ax) = | a() cos. (al) cos xw dw (Scale change) (a > 0) B* (w) sin xw dw, (a2) xf(x) dA A as in (10) B* = dw x*f(x) = |

(b) Solve Prob. 8 by applying (a3) to the result of Prob. 7.

Data from Prob. 7

Represent f(x) as an integral (10).

(c) Verify (a2) for f(x) = 1 if 0 < x < Î± and f(x) = 0 if x > Î±.
(d) Find formulas for the Fourier sine integral similar to those in (a).

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Advanced Engineering Mathematics

ISBN: 978-0470458365

10th edition

Authors: Erwin Kreyszig

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Question Posted: Dec 22, 2018 10:45 AM

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(a) Show that (10) implies (b) Solve Prob. 8 by applying (a3) to the result of Prob....

Question:

f(ax) = | a() cos. (al) cos xw dw (Scale change) (a > 0) B* (w) sin xw dw, (a2) xf(x) dA A as in (10) B* = dw x*f(x) = | A*(w) cos xw dw, (a3) d?A A* = dw2 if 0

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a Formula a1 Setting w p we have from 10 If we again write w i...View the full answer

Advanced Engineering Mathematics

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f(ax) = | a() cos. (al) cos xw dw (Scale change) (a > 0) B* (w) sin xw dw, (a2) xf(x) dA A as in (10) B* = dw xf(x) = | A(w) cos xw dw, (a3) d?A A* = dw2 if 0