Problem #12: The graph of f(t) is given below. 12 10 8 6 4 2 0 2 4 6 8 10 Find the Laplace transform F($) = L{f(t)} by first expressing f(t) in terms of the Heaviside function. Problem #12: Enter your answer as a symbolic function of s, as in these examples
The graph of f(t) is given below. 3 2 y 1 0 2 4 6 8 10 1 Find the Laplace transform F(s) = L{f(t)} by first expressing f(t) in terms of the Heaviside function. + -38 - 2745) + { (-32–35 –e-4-2-95) Correct Answer: C4 (8-38-2-45) – e-95) Your Mark: 0/2 Attempt #1 Attempt #2 Attempt #3 Attempt #4 Attempt #5 roblem #12 Your Answer: Žice+38–245) + { (+38738_e=4 e-95) Your Mark: 0/2x
i want to know how to get this answer. thx The graph of f(t) is given below. 5 4 3 y 2 1 0 2 6 8 10 = Find the Laplace transform F(5) {f(t)} by first expressing f(t) in terms of the Heaviside function. (21) +80*8+420 +4 Correct Answer: (8-25-2545) – (20-805)) Your Mark: 0/2
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)...
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....
Applied Mathematics Laplace Transforms 1. Consider a smooth function f(t) defined on 0 t<o, with Laplace transform F(s) (a) Prove the First Shift Theorem, which states that Lfeatf(t)) = F(s-a), where a is a constant. Use the First Shift Theorem to find the inverse trans- form of s2 -6s 12 6 marks (b) Prove the Second Shift Theorem, which states that L{f(t-a)H(t-a))-e-as F(s), where H is the Heaviside step function and a is a positive constant. Use the First and...
y" – 7y' +12 y = 0, y(0) = 3, y'(0) = -2. a. (4/10) Find the Laplace Transform of the solution, Y(8) = L[y(t)]. Y(8) = M b. (6/10) Find the function y solution of the initial value problem above, g(t) = M Consider the initial value problem for function y, y" + 10 y' + 25 y=0, y(0) = 5, y (0) = -5. a. (4/10) Find the Laplace Transform of the solution, Y(s) = L[y(t)]. Y(s) =...
Consider the initial value problem for function y, y" – ' - 20 y=0, y(0) = 2, 7(0) = -4. a. (4/10) Find the Laplace Transform of the solution, Y(8) = L[y(t)]. Y(8) = M b. (6/10) Find the function y solution of the initial value problem above, g(t) = M Consider the initial value problem for function y, Y" – 8y' + 25 y=0, y(0) = 5, y(0) 3. a. (4/10) Find the Laplace Transform of the solution. Y(s)...
2. Given 12 f(t)= ={ Ost<3 t23 (a) Write f(t) in one line using the unit step function (Heaviside function). 5 points 10 points (b) Find L{f(t)}, either by using the definition of the Laplace transform or by finding the Laplace transform of your answer to part (a).
piny 1520 7e ECW-3: Problem 16 Previous Problem List Next (1 point) The graph of f(t) is given below a. Represent f) using a combination of Heaviside step functions. Use ht - a) for the Heaviside function shifted a units horizontally f(t) = help (formulas) . Find the Laplace transform F(8) = C{f(0)} for 8 +0. F(s) = C {f(t)} = help (formulas) Note: You can earn partial credit on this problem