The growth of a sunflower during the first 100 days after sprouting is modeled well by the logistic curve y = h(t) shown in Figure 17. Estimate the growth rate at the point of inflection and explain its significance. Then make a rough sketch of the first and second derivatives of h.

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250 200 150 100 50 Height (cm) 20 40 60 80 100 -t (days)