A construction crew has to dig ditches tor a set of pipes that must carry water from point A to both of points B and C {see figure) Points B and C are 3 km apart and pointA is 3 km from the midpoint of B and Cr They want to dig as little as possrhle and they believe the best way to do that is to dig from point A to some point D along the midline a distance h, from the midpoint of B and C. They know that they should choose h, satisfying 0 S h 5 2 but they are not sure exactly what value of h. to user 3km 3km a} Formulate an expression L(h) for the total length of ditch L(h) : (37h) + 2(Sqr1(3+h"2)) (2 points) m Now calculate the value ofh which minimizes the amount of ditch to be dug. If there is more than one such value give your answer as a comma separated list. h : stqrtUZ) {3 points.)