) A function f Cx) defines the Fourier tronsfor mation asfollows:Î (w) = | f Cx) e- o.Similarly, the inverse ourier trons formation of a knownfunction ê lw) is found os :P (x) = +f(w)e w dw2π- のby looking at this, find the Fourier transform of f ()of the function given be low and verifyfora > 0the shope of the function f(x) given to you by calculatingthe inverse fourier tronsform using the result you found-axx > Of (x) =X <0

Answered: Image /qna-images/answer/b2933068-db24-4cf1-98b9-214e8db2edc9.jpg

) A function f Cx) defines the Fourier tronsfor mation as follows: Î (w) = | f Cx) e - o. Similarly, the inverse Fourier trons formation of a known function ê lw) is found os : P (x) = + f(w)e w^ dw 2π by loo king at this, find the Fourier tronsform of f (w) of the fuenction given be low and verify for a > 0 the shope of the function f(x) given to you by calculating the inverse fourier tronsform using the result you found - ax x > O f (x) = %3D X <0

) A function f Cx) defines the Fourier tronsfor mation as follows: Î (w) = | f Cx) e - o. Similarly, the inverse Fourier trons formation of a known function ê lw) is found os : P (x) = + f(w)e w^ dw 2π by loo king at this, find the Fourier tronsform of f (w) of the fuenction given be low and verify for a > 0 the shope of the function f(x) given to you by calculating the inverse fourier tronsform using the result you found - ax x > O f (x) = %3D X <0

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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