compute the laplace transform . B. g(t) = (2-2)14,3(t)+(-2t + 10)113,5(t)
Express the function below using window and step functions and compute its Laplace transform. Ag(t) 10- --00 2 6 10 Click here to view the table of Laplace transforms. Click here to viow the table of nronerties of lanlace transforms O A. g(t) = (2t- 3)uột - 3) + (-2t + 7)-(1-7) O B. g(t) = (2t- 6)Il3,5(t) +(-2t + 14)II5,7t) O c. g(t) = u(t-3)+(21-6)I13,5(t)+(-2t + 14)I15,7(t) + u(t-7) OD. g(t) = (2-6)113,7(t)+(-2t + 14)u(t-5) Compute the Laplace transform...
Express the function below using window and step functions and compute its Laplace transform. Ag(t) a 10- 2 0- 0 2 ED 8 10 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Express g(t) using window and step functions. Choose the correct answer below. OA. g(t) = (2-2) 17t) + (- 2 + 14)uột - 4) 0 B. g(t) = (2 - 2) I1,4(t) + (-2t+ 14)II4,7(t) 0...
1. Determine the Laplace transform of the following signals e* .11(t) ; (b) g(t)=Icos(2) + sin(2t)j.u(1-3) ; (c) h(t)-t-e-21. cos(30.11(1) 2. Determine the Laplace transform of the non-periodic signal shown below: h(t) 0 1 2 3 4 t 3. Determine the Laplace transform of the periodic waveforms shown below: fa) f(t) 0 2T 4T 6T 8T 4. Determine the inverse Laplace transform of the following signals 2s (b) G)6s+12 H(s) =s.(14%) (a) F(s)-De (c) (2s +1)(s1 +5s +6 5. Using...
Use the important property L{f + g}=L{f(t)}.L{g(t)} of convolutions to compute the Laplace transform of sø (t - 1)? cos(2t) dt. a. 1 s'(s2 + 4) 1 b. s (s2 + 4) 2 s3 (32 + 4) 2 d. 5° (s2 + 4)
Express the function below using window and step functions and compute its Laplace transform. g(t) 10- 0 0 2 4 6 8 10 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Express g(t) using window and step functions. Choose the correct answer below. A. g(t)= u(t - 4) + (8t – 32)I14,5(t) + (- 8t+48)/15,6(t) + u(t-6) O B. g(t) = (8t - 4)u(t - 4)+(-8t+6)u(t-6) C. g(t)...
2, let f(t)-〈 2t 2-t < 4 ; g(t) = . 0 otherwise 0 5<t (a) Write each function in terms of the unit step fun ction (b) Plot each function (c) Find the Laplace transform of f (t) and g(t) 2, let f(t)-〈 2t 2-t
determine Laplace transform of a-d (a) f(1) = (1 - 4)u(t - 2) (b) g(t) = 2e-4eu(t - 1) (c) h(t) = 5 cos(2t - 1)u(t) (d) p(t) = 6[u(t - 2) - ut - 4)]
Problem 4 Given: St t(t) # -t e g(t) a) Compute fg () using convolution integral method. b) Compute g*f () with Laplace transform. o) What are the differences between the results of questions (a) and (0) above? d) Find the Laplace transform of the following function: (t 0 to +oo) e dt e) Find the equivalent solution of (d) using MATLAB method) (find 2 methods) Problem 4 Given: St t(t) # -t e g(t) a) Compute fg () using...
2. Find the Laplace transform of the following functions (a) f(t)3t+4 (b) cos(2Tt) (c) sin(2t T) (d) sin(t) cos(t) "Use Trig. Identity" (e) f(t) te 2t use first shifting theorem
0<t<T when Tt< 2 t 2T sin t when 2. Calculate the Laplace transform of the periodic function f(t) 0 f(t-2) when -7s 3. Calculate the inverse Laplace transform of G(s) 3-4e-5 + $2+2s+17 4. Use the Laplace transform to solve each initial value problem: 4y"+ y u2m(t)sin(t/2) y(0)=0 &(0 =0 (a) 0 and /(0) 2 "+4y+13y = 4to(t-T) if y(0) (b) 5. Use the convolution to write a solution of each initial value problem. y"+6y'+10y g(t) 1 y(0) 0...