Question

The Fourier cosine transfor
of f(x) = 2e-5x + 5e-2x​

Answer 1

Answer:

Find the four sine transform 5e−2x+2e−5x

A) 2π−−√[1s2+4+1s2+25]

B) 2π−−√[2s2+4+5s2+25]

C) 102π−−√[1s2+4+1s2+25]

D) 2π−−√[2s2−4+5s2−25]

Correct Answer:

C) 102π−−√[1s2+4+1s2+25]

Description for Correct answer:

Formula :

Fs(e−ax)=2π−−√(as2+a2)

Fs[5e−2x+2e−5x]

=5Fs(e−2x)+2Fs(e−5x)

=525−−√(2s2+4)+22π−−√(5s2+25)

=102π−−√(1s24+1s2+25]