No solution No Credit. Problem Solving. (25 points) 1. Find the laplace transform of sin(t)sin(2t)sin(3t), using festf(t)dt. 2. Find the inverse laplace transform of (sª - 4s³ + 8s² - 5s + 14]/[(s+2)(s²+16) (s²+4s+4)]. 3. Find the simplified z transform of k²cos(k*a). 4. Find the inverse z transform of F(z) = (8z - z³)/(4-z)³.