Problem 6 Find the Laplace transform of the functions f(t) listed below by the following figures: b. the function f(t) in the Figure 2. c. the function f(t) in the Figure 3. f(t) A T 0 T f(t) Figure 2: f(t) 26 a a 0 #2 --- Figure 3: f()

Q1. Find the Fourier of the function in Fig.Q1 f(x) -a a x -a Fig.Q1

2. Determine the Laplace transform of the following functions. Here you may use common identities and known transforms of basic functions, but clearly show each step and briefly state which identities/properties you use in each step (i.e. Shift Theorems, Derivative Theorem etc.). f(t) = te-2t cos(4t) f(t) = t² sin2(t) + t cos² (t)

Give the Fourier Transform for the following functions: (i) 108(t)

Part II. Find the Inverse Laplace Transform of the following: 10 2. F (s) s2 +4s+4

(1 point) The graph of f(t) is given below: Į (Click on graph to enlarge) a. Represent f(t) using a combination of unit step functions. Use u(t – a) for the unit step function shifted a units horizontally. - f(t) = b. Find the Laplace transform F(s) = L {f(t)} for s ‡ 0. F(s) = L {f(t)} = help (formulas) help (formulas)

please help me answer this immediately

Show the complete solution for these 2 question:

B. Find the inverse Laplace transform of the following expression ( (1) X(s) = ²+4 s+29 se-le transform table FIRST to

a) make the Inverse Laplace Transform of the given function. Show all decals in detail and simplify the result completely. 8s +3 F(s) = (s + 1)2(2s² + 16s + 30) b) make the Laplace Transform of the given function. f(t) = 6te-3t + te-5t sin5t + t?