(1 point) Find the Laplace transform F(s) = £{f(t)} of the function f(t) = e2t-12 h(t – 6), defined on the interval t > 0. F(s) = L {e2t–12h(t – 6)} = help (formulas)
4. Find the Laplace transform of the following function. 0 st<1 t + 1 1s1<2 g(t) = 2st<3 01
(4) Find the Laplace transform of this function: Set if 0 <t <2, 0 if 2 <t.
Using the definition of the Laplace Transform, and proper notation, find the Laplace transform of fle=10,0<t<2 7,122
1. (2 points) Using the definition, find the Laplace Transform of the function: e21, 0<t<3 f(t) = 3<t
Find the Laplace transform of the periodic function below. f(t) = { 8 if 0 < t < 1 0 if i<t<2 ; f(t + 2) = f(t) f(0) 2 3 -4 -6 7 Q
Problem 3.a. (4 pt) Find the Laplace transform of f(t) = | 1, for 0 <t<1 5, for 1 <t< 2 le-t for t > 2
Find the Laplace transform F(s) - {0} of the function: f(t) = 1-21 0314 2-34 4 <t<6 14 6 by splitting the integral into three pieces. Enter your answers in order of increasing domain.
3. Find the Laplace transform off, where f(t) = 3 + 2 if Ost <3, f(t) = 0 if 3 st < 6 and f is periodic with period 6. 4. Solve y" - 16y = 40e4t y(0) = 5, y(0) = 9 using the Laplace transform.
Express the function below using window and step functions and compute its Laplace transform. 0, 0<t<3 5, 3<t<6 6, 6<t<9 4. 9<t 9) Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 0 C, 9(t) = 5u(-3) + Quẹt - 6) + 4x(1 - 9) D. g(t)=5113,6(t)+6116, 9(t) + 4u{t-9) Compute the Laplace transform of g(t), (Type an expression using s as the variable)