The median weight of a boy whose age is between 0 and 36 months can be approximated by the function w(t) =7.47 + 1.02t - 0.0075t2 + 0.000399+3, where t is measured in months and w is measured in pounds. Use this approximation to find the following for a boy with median weight in parts a) through c) below. . .... a) The rate of change of weight with respect to time. w' (t) = b) The weight of the baby at age 7 months. The approximate weight of the baby at age 7 months is Ibs . (Round to two decimal places as needed.) c) The rate of change of the baby's weight with respect to time at age 7 months. The rate of change for the baby's weight with respect to time at age 7 months is approximately | Ibs/month. (Round to two decimal places as needed.)