content area top Part 1 Let f(t) be a function on [0, infinity). The Laplace transform of f is the function F defined by the integral F(s)equalsIntegral from 0 to infinity e Superscript negative st Baseline f left parenthesis t right parenthesis dt. Use this definition to determine the Laplace transform of the following function. f(t)equalsStartSet Start 2 By 2 Matrix 1st Row 1st Column e Superscript 2 t Baseline comma 2nd Column 0 less than t less than 4 2nd Row 1st Column 3 comma 2nd Column 4 less than t EndMatrix