Question

Express the function below using window and step functions and compute its Laplace transform. Ag(t) 10- O A. g(t) = u(t-1)+(77-7)111,2(t) +(-7t+21)112,3(t) + u(t - 3) B. g(t) = (7t - 7)111,2(t) +(-7t+21)112,3(t) C. g(t) = (77–7)114,3(t) +(-7t+21)u(t-2) Click to select your answer(s).

Answer 1

glt) t20 Tt-7 let ca 1 - 76 +21 , 24t 23 0 t> 3 In unit step form glt) of (72-7) ult-1)- Eft-7) ult-2) + +7+421) Ult-2) - (+76421) 0(4-3) other 20 way gut) = tit-7) T., (t) +(-762) 12,34t) Therefore option ® is correct

Now, get) = 7(6-1)0 (4-1) f (ouit 428) ult-2) +7(6-3) ult-3) 91t)=6(tault-1)-14 (A-2) oct-2) +7(43) ult-3) By taking taplan laplacu transform, weget I {.glt)} S -25 -14 e -33 7 92 32 8² {{g(t)y tés -28 the + # 3 8² S? 32 L&g(t)} -3 7e -lue +7e