Applied MathematicsPU Spring
a) Find the Fourier cosine transform of f(x) = e ”™ form 0,and 7 then show that oS dx = Eek, 0 if x<0 co cos wx +w sin wx J + =0 b) Show that fy ——[2 dw=45 if x=0. ne ifx 0
8- a) Find the Fourier cosine transform of f(x) = e~”™ form > 0,and 7 ~ then show that {oS dx = Eek, 0 if x<0 co cos wx +w sin wx J + =0
- b) Show that fy ——[2 dw=45 if x=0. ne* ifx>0
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