2. (70 points) Consider the following simple model for growth of metabolic rate ~ power spent in cell creation + power spent work . (a) Taking m(t) as the mass of the organism at time t and Bam", and introducing constants where necessary, find for m(t) as a function of t. (b) Assume now that a = 3/4 (the Kleib), assuming an m(0) = mo. Which time in months is required to achiev (a newborn baby) if we assume the following: the final mass of growing organism is 70kg, for this mass the organism (human) needs 2000 kcal per 4184 J, the energy to produce one cell is 3 * 10-"kcal, th cell is 10-"kg, and the growth starts from one cell. Is it a