Question: (a) Write the following function as a unit step function. Find the Laplace transform of the function. f(t)={2,2t2,0t0,b>0,c>0. [6 Marks] (d) Evaluate L[f(t)] given that

(a) Write the following function as a unit step function. Find

(a) Write the following function as a unit step function. Find the Laplace transform of the function. f(t)={2,2t2,0t0,b>0,c>0. [6 Marks] (d) Evaluate L[f(t)] given that f(t)=10sin(t6)

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of the function. 3. (a) Write the following function as a unit step function. Find the Laplace transform f ( 1 ) = 2, 0 0, b > 0,c> 0. [6 Marks] (d) Evaluate L[f(t) ] given that f(t) = 10sin(t - )

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