Find the Laplace transform of the function f(t). f(t) = sint if o St<$21; f(t) = 0 if t> 21 Click the icon to view a short table of Laplace transforms. F(S) =
Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral L{f(t)} e-stf(t) dt 0 is said to be the Laplace transform of f, provided that the integral converges. Find L{f(t)}. (Write your answer as a function of s.) L{f(t)} = (s > 0) f(t) 4 (2, 2) 1
Find the Laplace Transform of f(t)= - lifts 4; f(t) = 1 if t> 4.
Find the Laplace transform of the function f(t). f(t) = sínztif25tS8; f(t):0if t < 2 or if t > 8 Click the icon to view a short table of Laplace transforms. F (s) =
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t> 3 1 L{f} (1 – 2e-st), 8 >0. S None of them L{f} = (1 – 3e®), s>0. 2 L{f} (3 - e-), 8 >0. S 2 L{f} (2-est), s >0. S
Find the inverse Laplace transform, f(t) of the function F(s)+ f(t) Points possible: 1 S > 3 Preview t>0 Enter an algebraic expression [more..]
6. Mix and match. You may also answer "none of these" F(s) = L{ft) f(t)= {F($)} 4 – 36 – 4e 35+3 s-(S-1) та 3s +3 $2(52 -1) - 4+7t + 4e7 -6-3t + 6e -7s+3 s-(s -1) 7s+7 $2(2-1) d -7-7t + Tet | 3s +7 s(s+1) le - 3 – 3t + 3e' 3s +7 $2(5+1) 3 - 3t - 3 cos t + 3 sint 4 + 70-4e | 3s - 7 s-(s-1) | 3s +7 s-(s-1)...
Please show work! (1 point) Find the Laplace transform F(s) of f(t) { O, t<6 5 sin(at), 6<t<7 0, t> 7 F(8)
Q1 Question 1 2 Points Find the inverse of f-1 of the function f(x) =1+1, 2 > 0. of'() = -1 of '(x) = -1 of '(x) = Of-l does not exist
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t> 3 1 L{f} (1 – 2e-st), 8 >0. S None of them L{f} = (1 – 3e®), s>0. 2 L{f} (3 - e-), 8 >0. S 2 L{f} (2-est), s >0. S