The first: find using transform i x =rcos(0), y=rsin(0) 00 00 e-(7x²+3y) dxdy

Q: Let f(t) = e^t if 0=1   Write f(t) using step function and find the laplace transform. Also,…

A: We have to write f(t) using step function and find the laplace transform. Also, draw the graph.

Q: 3. Find the Fourier transform of: (a) e-r²/2 (b) xe-2|z| (c) erfx = // Se √ Ső e-²² dz

A: As per our company guidelines, since the question has multiple subparts we will solve the first part…

Q: B. Find the inverse Z-transform of X(z) Z-1

A:

Q: Find the function f(x) that has Fourier transform (k) = (1+k4)-1.

A: Here we have to find out  .Now from definition of inverse fourier transform , to evaluate this…

Q: 3s-2 2s2-4s+2

A: The given function is                                             3s-22s2-4s+2

Q: f(x)= 2+ Show that fe L²(R) and find the L²-norm of the Fourier transform of

A: Answer given below.

Q: Find the Fourier Transform of f(s) = e-ax= a >0

A: The Fourier transform of a function  is given by :

Q: Find the inverse transform of X(z) = -3z 2z² - 5z +2 given that the ROC includes the unit circle.

A: