Answer all the problems please. (1 point) The graph of f(t) is given below (Click on…

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) for uc(t) .) (4(t-7))-1/7*eX-3(t-7))) (1 point) Find the Laplace transform of f(t) -6u4(t) – 4u7(t) – 5ug(t) F(s)S (-15/2)