where y() is the biomass (the total mass of the member the population) in kilograms at time : (measured in year the carrying capacity is estimated to be M - 8 x 10' & - 0.71 per year. (a) If >(0) - 2 X 10' kg. find the biomass a year later (b) How long will it take for the biomass to reach 4 x 10/ 4. Suppose a population P() satisfies de - 0.4P - 0.001p3 dt P(0) - 50 where r 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? 6. The table gives the number of yeast cells in a new laboratory culture. Time (hours) Yeast cells Time (hours) Yeast cells 509 18 10 597 39 12 atNO 640 80 14 664 171 16 672