Use theorem 7.4.1. theorem 7.4.1 derivatives of transforms if f(s) = ℒ{f(t)} and n = 1, 2, 3, . . , then ℒ{tnf(t)} = (−1)n dn dsn f(s). evaluate the given laplace transform. (write your answer as a function of s.) ℒ{te2t sin "3t"}'

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.

Based on the figures as marked, /\rqs = —

The area of square garden is 300m squared. how long is the diagonal?