The median weight of a boy whose age is between 0 and 36 months can be approximated by the functionw(t) = 7.76 +1.74t-0.003612 +0.0008651where t

The median weight of a boy whose age is between 0 and 36 months can be approximated by the functionw(t) = 7.76 +1.74t-0.003612 +0.0008651³where 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) = 1.74 -0.0072t+0.002595t²b) The weight of the baby at age 12 months.The approximate weight of the baby at age 12 months is 29.62 lbs.(Round to two decimal places as needed.)c) The rate of change of the baby's weight with respect to time at age 12 months.The rate of change for baby's weight with respect to time at age 12 months is approximately Ibs/month.(Round to two decimal places as needed.)