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Calculus Problems

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A family of ferrets start with 10 individuals but grows at a rate of six percent per year compounded semi-annually. Develop a mathematical relationship showing the population of ferrets, y, in any year as a function of years, x.

a. Construct the dataset and compute values of y for x=0, 1, 2, 3, 4, 5, 6. Graph the function over these x values.
b. Determine the net population change for each year in the above domain and graph these changes on an appropriate diagram.
c. Determine a functional statement of equation that best describes the relationship between the population change and time. How many new ferrets will I have in 5 years and six months?

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