Find f(s) if f(t) is given as Find F(s) if f(t) is given as 0 xki)...
f(t) F(S) (s > 0) S (s > 0) n! t" ( no) (s > 0) 5+1 T(a + 1) 1a (a > -1) (s > 0) $4+1 (s > 0) S-a 1. Let f(t) be a function on [0,-). Find the Laplace transform using the definition of the following functions: a. X(t) = 7t2 b. flt) 13t+18 2. Use the table to thexight to find the Laplace transform of the following function. a. f(t)=t-4e2t b. f(t) = (5 +t)2...
Find the Laplace transform of the given function. f(t) = {et, Ost<2 lo, t> 2 | F(s) =
Manufactiring System Dynamics 1. Given: S +3 Find f(t)? (40 points) 2. IF f(t) t Prove that F(s) 1/(s+a) (20 points ) 3. SOlve the following differential equation: subject to the initial conditions of: (40 points) x(0) 0 x(0) 0.
#6.) Given f(t)=-2:+8, Ost<4, f(t+4)= f(t). Find F(s)=L{f(t)} of the Periodic Function.
Find the Laplace transform, F(s) of the function f(t) = e-4, t > 0 Preview F(s) = syntax error , s > – 4 Get help: Video Written Example Submit Question 2. Points possible: 2 License Unlimited attempts. Score on last attempt: 0. Score in gradebook: 0 Message instructor about this question
ſt. 0<t<11 21. Given f(0) 1, 121 two ways: (1, >1 ; hind F(s) in two ways: 21. Given f(t) = 3 , find F(s) in two ways: a) using the definition of the Laplace trans- form, and b) using Heaviside functions. NUD 4tion 70
Question 2 ul lu (a) Find the solution u(x,t) for the 1-D wave equationfor -oo < x < oo with initial conditions u (x,0)-A(x) , where A(x) s presented in the diagram below, and zero initial velocity. For full marks u(x,t) needs to be expressed as an equation involving x and t, somewhat similar to f(x) on page 85 of the Notes Part 2. di+10 dı+15di+20 (b) Check for the wave equation in (a) that if f(xtct) (use appropriate value...
Problem 3. 0 Figure 2 Given: f(t) = { 2.5, -1.5 <=<= 1.5 f(t) = { 0 otherwise See figure(2) above. A) Find the Fourier transform for f( (see figure 2) and sketch its waveform. B) Determine the values of the first three frequency terms (w1, W2, W3) where F(w) = 0. C) Given x(t) = 1.58(-0.8) edt Determine whether or not Fourier transform exists for x(t). If yes, find the Fourier transfe not explain why it does not. Problem...
(1 point) S 3, 0<t< 1 =10, 1st<2 Find the Laplace transform F(s) of the periodic function f(t) = with f(t + 2) = f(t) whose graph is given below. What is the minimal period T for the function f(t): T = e-st f(t) dt F(s) = (1 – e-Ts) 1.8 1.0
Find the Laplace transform of the given function. (Enter your answer in terms of s.) f(t) = 3, 0, Ost < Ist < 00 L{f(t)} =