## Question

###### Ezt 0 <t<2 (o t <0 2 <t<4 let f(t) = t 0 <t<t; 9) = ~2t 4 <t<5 sin(t) T < t 5 < t(a) Write each function in terms of the unit step function (b) Plot each function (c) Find the Laplace transform of f(t) and g(t) Find the inverse Laplace transform of the following functions:(a) (b)(c) (+1)+1

ezt 0 <t<2 (o t <0 2 <t<4 let f(t) = t 0 <t<t; 9) = ~2t 4 <t<5 sin(t) T < t 5 < t (a) Write each function in terms of the unit step function (b) Plot each function (c) Find the Laplace transform of f(t) and g(t) Find the inverse Laplace transform of the following functions: (a) (b) (c) (+1)+1

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