In the 1930s, the Soviet ecologist G. F. Gause22 studied the population growth of yeast

Chapter 11, Problem 36

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In the 1930s, the Soviet ecologist G. F. Gause22 studied the population growth of yeast. Fit a logistic curve, dP /dt = kP(1 P/L), to his data below using the method outlined below. Time (hours) 0 10 18 23 34 42 47 Yeast pop 0.37 8.87 10.66 12.50 13.27 12.87 12.70 (a) Plot the data and use it to estimate (by eye) the carrying capacity, L. (b) Use the first two pieces of data in the table and your value for L to estimate k. (c) On the same axes as the data points, use your values for k and L to sketch the solution curve P = L 1 + Aekt where A = L P

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