Question: MATLAB: The table below contains data from an experiment to determine the growth rate of bacteria, k , as a function of oxygen concentration, c
MATLAB: The table below contains data from an experiment to determine the growth rate of bacteria, k, as a function of oxygen concentration, c:
| c (mg/L) | 0.5 | 0.8 | 1.5 | 2.5 | 4 |
|---|---|---|---|---|---|
| k (per day) | 1.1 | 2.4 | 5.3 | 7.6 | 8.9 |
Fit this data to a curve of the form:
k=Ac2B+c2
Make sure to display and identify the values you get for A and B. Hint: transform the curve in c and k to a polynomial in (1/c2) and (1/k)
Plot the data points and the approximating function over the range c = 0 to 4.5 on a single figure. Use diamonds to represent the data points, a green dashed line for the approximating curve.
Estimate the growth rate at c = 2 mg/L using your approximating function.
Ac2 B+c2
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