The graph of f (t) is given below: 16 110 1.0 F1 -1 (Click on graph to enlarge) a. Represent f (t) using a combination of Heaviside step functions. Use h(t – c) for the Heaviside function h.(t). f(t) = b. Find the Laplace transform F(s) = L{f(t)}. F(s) = L{f(t)} =

Q: b) Determine Pᵒ(w) the following Legendre functions: Pᵒ(w) P'(w) P₂ (w) P(w) P2 (w)

A: We have e to determine the following  Legendre functions

Q: 1. Find the Lapace Transform of the function f (x) = x. Show all your steps and be sure to use…

A:

Q: x) = {0 ² ². 0, Determine the Fourier transform of the function: f(x) 0<*? x<0

A:

Q: Q4: Find the inverse Fourier transform of the spectrum: - 2s w S0 X (w) = 0 swS2 -- 0.W EIN I 0

A: Definition:

Q: b) Write the step function of the graph shown below. Then find the Laplace transform. Ax)

A: