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At time t (in days), the size S of a population of butterflies is given by the formula. S= 600/1+49(0.6)^t. The graph below (and the

At time t (in days), the size S of a population of butterflies is given by the formula. S= 600/1+49(0.6)^t. The graph below (and the derivative to verify), answer the following:

  1. What is the growth rate after 10 days?
  2. When does the maximum growth rate occur?
  3. Explain why the shape of the graph looks this way.

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