Let f(x)=2 cos(5x)+3 sin(4x) and let q, be the Fourier polynomial of degree n for f. (a) Show that if n = 3, q,(x) = 0. (b) Find q4. (c) Explain why q,(x) = f(x) if n 5.

Q: Find the Fourier transform F(e-az) of f(x) = e-a if x > 0 and f(x) = 0 if x 0.

A:

Q: Find the Fourier Transformation of II (t-) Select one: O l sinc(f) O ef sinc(2f) O jrf sinc(f) 3jef…

A:

Q: Find the complex fourier Intergral Representationn of 0, x 0

A:

Q: Show that d(w) - = [6(w− 1) + 6(w+1)] is the Fourier transform of cos(t). Show that d(w) = −ix[8(w −…

A:

Q: Determine if the setsin² {sin²x, 1-cos(2x)} is linearly dependent or linearly independent on I =…

A: Let B={sin2x,1-cos(2x)}.

Q: Use direct integration to find the Fourier transform G(f) of signal

A:

Q: Find the Fourier Transforms of the indicated function: f (x) = e-3x for x > 0 and f (x) = e2x for x…

A: We have,fx=e-3xx>0e2xx<0 To Do: Find the Fourier Transform of the given function.

Q: Obtain the Fourier transform of the function where f(x) = 0 for x < 0 and f(x) = e−axsin(bx) for…

A: