f(t) = 1 + e^6t Use Theorem 7.1.1 to find L(f(t)). (Write your answer as a function of s.)
f(t) = (e^t - e^-t)^2 Use Theorem 7.1.1 to find L(f(t)). (Write your answer as a function of s)
f(t) = 4t^2 - 2sin(3t) Use Theorem 7.1.1 to find L(f(t)). (Write your answer as a function of s)