In the following laplace transform, how do you get rid of the cos(2at)*sin(at)?

l{sin^3 (at)}
l{ sin(at) * [1/2 ( 1 - cos(2at)]}
1/2 l{sin(at)} - 1/2 l{cos(2at)*sin(at)}
1/2 * (a^2)/(s^2 + a^2) - 1/2 l{cos(2at)*sin(at)}

Asimple random sample of size nequals14 is drawn from a population that is normally distributed. the sample mean is found to be x overbar equals 70 and the sample standard deviation is found to be sequals13. construct a 90% confidence interval about the population mean

Hiroaki wants to find 3 3/4 - 7/8 explain why he must rename 3 3/4 to do the subtraction.

What is the probability of throwing several dice with sum equal to 6 (six)? show the ways of possibilities for sum 6 (as the numerator) and the ways of throwing n dices for n = 1, 2, 3, 4 or 5 as denominator for all the questions to earn full credits. (a)throw one die, (b) throw two dice, (c) throw three dice (d) throw 4 dice, (e) throw 5 dice