Question: Consider the function F(s), which is the Laplace Transform of function f(t): 8 (s+ 1)(s + 3) (s + 2)(s + 4) (s +

Consider the function F(s), which is the Laplace Transform of function f(t):

Consider the function F(s), which is the Laplace Transform of function f(t): 8 (s+ 1)(s + 3) (s + 2)(s + 4) (s + 6) F(s) = Use MATLAB in order to determine the following: a. Partial Fraction Expansion of F(s). b. the function f(t), i.e., the analytical expression for f(t). c. the numerical (decimal) value of the first derivative of f(t) at t= 1 sec. d. Plot the function f(t) in the range 0 < < 4 seconds.

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