1) Find the Fourier transform of the following functions: part a) of is a piecewise function defined by f(x)= 1+x 1-X 0 X<- -15x50 x > 1 part b) f is half a period of cosine function: "Fax)= { cosx -푸스X스플 0 Otherwise part c) f is a gate function 1≤x≤2 F(x) = {0 otherwise

Q: Suppose Find a.

A: X~B(30,0.21) to find q

Q: f(x) = { ; ا 0 (01-) (...) mle -|

A: In this question, we have given a graph of f(x). To write the Fourier transform corresponding to the…

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: y" +10y' +25y = 0,

A:

Q: Problem 2. For the function defined by if -22x20 0<x<2 52 - 2 f(x) = 2x+2 sketch the 4- Period…

A: As per the question we are given a piecewise defined function f(x)  with period 4 and we have to…

Q: k ak ak a-1,a +1 (-1)* 1/½(-1)*+1 kak 4), a +1 a- (ak + b)(n) (ak+b)(n+1) a(n+1)

A: ∆ak= ak+1-ak      = ak(a-1) therefore anti difference of ak=ak/(a-1)

Q: 7) Chapter 2.6 Find the first four derivatives of f (x) = 6æ³ – 2x² +1

A:

Q: f is a function with the following Fourier coefficients on the interval [-, π] ao= - a₁ = b₁ === a₂=…

A: