In this problem, x = c1 cos(t) + c2 sin(t)

is a two-parameter family of solutions of the second-order DE

x'' + x = 0.

Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.

x(pi/2) = 0, x'(pi/2) = 1

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 25002500 grams and a standard deviation of 800800 grams while babies born after a gestation period of 40 weeks have a mean weight of 27002700 grams and a standard deviation of 385385 grams. if a 3232-week gestation period baby weighs 21252125 grams and a 4040-week gestation period baby weighs 23252325 grams, find the corresponding z-scores. which baby weighs lessless relative to the gestation period?