Math 2306 Homework Due Friday April 6

1. Use the definition of Laplace transform to find the Laplace transform of the piecewise-defined function f(t) = 2 - 2t for t in [0,2], f(t) = 0 for t >2.

2. Use Theorem 7.1 to find the Laplace Transform of      .

3. Use partial fractions to find the inverse Laplace transform of