A goat that weighs 6 pounds at birth gains weight at the rate 2: = k(230 w), where w is weight in pounds and t is time in years. (3) Find the particular solution of the differential equation. (b) Use a graphing utility to graph the particular solutions for k = 0.8, 0.9, and 1. w w w W 200 200 250 250 150 200 150 200 150 150 100 100 100 100 so so so so , l . t , t 2 4 6 8 1o 2 4 6 B 10 2 4 6 8 10 10 (c) The animal is sold when its weight reaches 155 pounds. Find the time of sale (in years) for each of the models in part (b). (Round your answers to two decimal places.) k=D.8 t= Yr k=D.9 t: yr k=1 1*: yr (d) What is the maximum weight of the animal (in pounds) for each of the models in part (b)? k = 0.8 lbs k = 0.9 lbs k = 1 lbs