Question

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)

Answer 1

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Sul?" 4 groen 3 5 fog (30) (70) the points Now the Line passing through eam of (3,0) & (514) w 4-0 = 4-0 (3-3) 5-3 a=t here y = 4(2-3) y = 2(2-3) = at-6 y - alt-3) y = at 6 & Consilarly the Equ of lime passing through the points (4,0) $ (5.4) Y-0 = 4-0 (3-4) 5-7 - -a (t-1) y = - at tly

DO .. now the get) is defined as oct<3 GCL) set as 5st <7 t>7 at-6 , -at+14) 0 Now, By the definition of Laplace transform 00 St 9(t).dt O L6945 4-fgu) * Jox'a + fee 4€ St 7 at + (-attlue att 0 7 3 $ -st -SE Lagcey = 0+ (at-6) a ) 5 -st 17 + (-at+14). © -5 3 3 - 5 7 -GR) és UP -55 Lege} = $ue 4) -a le sc]} [0-48) en Carry L&getyy -55 -35 - 2e the S S² + & 2 [et] 55 -2 e LE} - ---33 Qe t2e S -55 — це