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piny 1520 7e ECW-3: Problem 16 Previous Problem List Next (1 point) The graph of f(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
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)...
Laplace Transform: Problem 6 Previous Problem Problem List Next Problem (1 point) Find the inverse Laplace transform f(t) = --!{F(s)} of the function F(s) = 4e-25 52 + 16 f(t) = 2-1 | 4e-28 IS2 + 16 S help (formulas) Note: Use u(t) for the Heaviside function. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.
(t) = 0 <t< dz W sint - 4) If 4 st. a. Use the graph of this function to write it in terms of the Heaviside function Use hit-a) for the Heavis de function shifted a units horizontaly f(t)- help (formulas) b. Find the Laplace transform F(x) = ()} FC) - 40) help (formulas) Note: You can earn partial credit on this problem
22 Laplace poly shift: Problem 1 Previous Problem Problem List Next Problem (1 point) Consider the initial value problem 16y cos(4t), y(0)-3, (0) -5 a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below) help (formulas) b. Solve your equation for Y...
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....
Homework 16: Problem 3 Previous Problem Problem List Next Problem (1 point) Consider the initial value problem y" + 16y = 64t, y(0) = 9, y'(0) = 6. a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). help (formulas) b. Solve...
Previous ProblemP Problem List Next Problem 48 +8 s2 +1 (1 point) Find the inverse Laplace transform f(t) = L 1 8)) of the function F(s) = help (formulas) s2 +1 Preview My Answers Submit Answers (1 point)Findthe inverse Laplacetransformf(t) =L 1(F(s)) ofthe function F(s) = 821881 1 18s help (formulas) 82 -81
(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)
HW6: Problem 9 Previous Problem Problem List Next Problem (1 point) Find the Laplace transform of f(t) = 2te2sin(t) F(8) HW6: Problem 10 Previous Problem Problem List Next Problem (1 point) Find the Laplace transform of f(t) = t cos(3t) F(3)