) f (t)= t cos(t)(Hint: Use what we found in class, the integral of cos(t)est and be carefulwhen evaluating limits (youll need to consider Lhospitals rule and squeeze theorem (refer back tosequences in Calc II). You will also want to use Laplace transform of sin(t) which will be discussedon Monday))Using the Laplace transforms we already found ( or general ones stated) and the fact that thelinearity property holds for the Laplace transform (i.e. : L{(cos(t)+sin(t))}= L{cos(t)}+L{sin(t)}