Rocío Ramirez
2022-10-16
A researcher is trying to determine the doubling time for a population of the bacterium Giardia lamblia. He starts a culture in a nutrient solution and estimates the bacteria count every four hours. His data are shown in the table.
(b)
Use a calculator or computer to find an exponential curve
f(t) = a · b^t
that models the bacteria population t hours later. (Round your coefficients to five decimal places.)
Time (hours) | 0 | 4 | 8 | 12 | 16 | 20 | 24 |
---|---|---|---|---|---|---|---|
Bacteria count (CFU/mL) | 36 | 48 | 63 | 78 | 106 | 130 | 172 |
Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
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