A system is described by the following function: () = 5( 2)3(4) where () is the unit step function. 1.1.1 Sketch the function () for 0 6 (5) 1.1.2 Determine the value of () at = 1,3,5 (5) 1.1.3 Express () in piecewise form. (5) 1.1.4 Compute the Laplace transform of (). (5) 1.1.5 Using the Laplace transform, find () and determine its inverse Laplace transform to verify ()