9–27. For each of the following functions f(t), (a) express f(t) in terms of on-off switches...
t?, t<3 . Express the function f(t) = le4t, 3St<5 In terms of unit step functions and compute it's Laplace transform
5. STEP FUNCTIONS/ LAPLACE TRANSFORM g(t) 2 a) Express in terms of HEAVISIDE STEP FUNCTIONS b) Find the Laplace Transform using part (a)-show work very carefully and state any Theorems about Laplace Transforms you are using c) Find the Laplace transform by direct integration and not using any step functions. Show steps of integration work very carefully
Write the following function in terms of Heaviside functions and then find the Laplace transform. Write the following function in terms of Heaviside functions and then find the Laplace transform. f(t) = { ft, if 0 st 51 1, if 1 st
(e) Express Laplace transforms of the following functions in terms of F(8)- (f(t)) 0 0 (e) Express Laplace transforms of the following functions in terms of F(8)- (f(t)) 0 0
a only 5.3.5 Exercises Ex. 5.11. Express the following functions in terms of Heaviside step func- tions and find their Laplace transforms: 0t 2 0t3 t, (a) f(t) (b) f(t) t4 2< t < 4 3 t 3<t < 6 3, 4 t 0, 6 t
10:53 homework7 11 Homework7: Problem 11 Previous Problem List Next (1 point) Consider the function if0<t<2 a. Use the graph of this function to write it in terms of the Heaviside function. Use h(t - a for the Heaviside function shifted a units horizontally f(t) help (formulas) b. Find the Laplace transform 0. F(s) = L U(t)) for s help (formulas) Note: You can earn partial credit on this problemm. Pr
Compute the Laplace transform of the function on [0, oo). Here, uc (t)ut c where u(t) is the Heaviside function on [0, oo). Give your answer as a function of 8 for 8 〉 0. (f)(s) =
(1 point) The graph of f(t) is given above Express f(t) in terms of shifted unit step functions u(t - a) f(t) = tu(t-2)+u(t-4)-u(t-8) Now find the Laplace transform F(s) of f(t) F(s)
Problem #9: The graph of f(t) is given below. 5 4 3 2 2 10 4 -1 1 (a) f() can be represented using the following combination of Heaviside step functions а U(t - 3) + b U(t - 4) + с U(t - 9) Enter the constants a, b, and c (in that order) into the answer box below. (b) Find the Laplace transform F(s) = Pf()} for s 0. a, b, c (in that order), separated with commas....
Answer all the problems please. (1 point) The graph of f(t) is given below (Click on graph to enlarge) a. Represent f(t) using a combination of Heaviside step functions. Use h(t - a) for the Heaviside function shifted a units horizontally f(t) = help (formulas) b. Find the Laplace transform F(s) = L {f(t)) for s 0. F(s) = L {f(t)) = help (formulas) (1 point) Find the inverse Laplace transform of 7s F(s) = s2-15-12 f(t)-H(t-7)*(1/7% . (Use step(t-c)...