istic where y(t) is the biomass (the total mass of the members of the population) in kilograms at time t (measured in years) the carrying capacity is estimated to be M = 8 x 10' kg, and k = 0.71 per year. (a) If y(0) = 2 X 10' kg, find the biomass a year later. k? (b) How long will it take for the biomass to reach 4 x 10ke re 4. Suppose a population P(t) satisfies ing? dP = 0.4P - 0.001p2 P(0) = 50 dt where t is measured in years. (a) What is the carrying capacity? (b) What is P'(0)? (c) When will the population reach 50% of the carrying capacity ? 5. Suppose a population grows according to a logistic model with initial population 1000 and carrying capacity 10,000. If the population grows to 2500 after one year, what will the population be after another three years? op- se 6. The table gives the number of yeast cells in a new laboratory