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Hi, can I get an answer to the question below here please? Case Study: Microbiologist Microbiologists contribute their expertise to many fields, including medicine, environmental

Hi, can I get an answer to the question below here please?

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Case Study: Microbiologist Microbiologists contribute their expertise to many fields, including medicine, environmental science, and biotechnology. Enumeratiog, the process of counting bacteria, allows microbiologists to build mathematical models that predict populations. Once they can predict a population accurately, the model could be used in medicine, for example, to predict the dose of medication required to kill a certain bacterial infection. The data set in the table shown was used by a microbiologist to produce a polynomial-based mathematical model to predict population p(t), as a function of time (t), in hours, for p(t) = 1000 (1+ + + 13+ 14+15) 24 120 Time (in h) Population 0 1000 0.5 1649 1.0 2718 1.5 4482 2.0 7389 Discussion Questions: 1. How well does the function fit the data set? Use the data, the equation, a graph, and/or graphing calculator to comment on the "goodness of fit." COMM 2. What is the population after 0.5h? How fast is the population growing at this time? (Use calculus to determine this.) Complete these calculations for the 1.Oh point. K/U 3. What pattern did you notice in your calculations? Explain this pattern by examining the terms of this equation to find the reason why. COMM

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