Y = C1 cos 2x + c2 sin 2x is a two-parameter family of solutions of the second-order DE y'" + 4y = 0. If possible, find a solution of the differential equation that satisfies the given side conditions. The conditions specified at two different points are called boundary conditions. 0, y(T) 0 40. y(0) 39. y(0) 0, y(T/4) 3 42. y(0) = 1, y'(m) - 41. y'(0) 0, y'(7/6) 0 44. y'(T/2) 1, y'(m) = 0 43. y(0) 0, y(T) = 2

Assume that females have pulse rates that are normally distributed with a mean of mu equals 72.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. complete parts (a) through (c) below. a. if 1 adult female is randomly selected, find the probability that her pulse rate is between 65 beats per minute and 79 beats per minute. the probability is? b. if 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 65 beats per minute and 79 beats per minute. the probability is? c. why can the normal distribution be used in part (b), even though the sample size does not exceed 30?