Question: PLEASE show all the codes for MATLAB Question 6 (25%): Two very important quantities in studying the growth of microorganisms in fermentation processes are the
Question 6 (25\%): Two very important quantities in studying the growth of microorganisms in fermentation processes are the carbon dioxide evolution rate and the oxygen uptake rate. These are calculated from experimental analysis of the iniot and exit gases of the fermentor, and the flow rates, temperature, and pressure of these gases. The ratio of carbon dioxide evolution rate to oxygen uptake rate yields the respiratory quotiont, which is a good barometer of the metabolic activity of the microorganism. In addition, the above rates can be integrated to obtain the total amounts of carbon dioxide produced and oxygen consumed during the fermentation, These total amounts torm the basis of the material balancing techniques used in modeling of fermentation processes. The table shows a set of rates calculated from the fermentation of Penicillum chrysogenum, which produces penicilin antibiotics. \begin{tabular}{|r|r|r|} \hline & & \\ \hline Time of \\ fermentation (h) & rate (g/h) \\ 140 & 15.72 & \multicolumn{1}{|c|}{ rate (g/h)} \\ \hline 141 & 15.53 & 15.49 \\ \hline 142 & 15.19 & 16.16 \\ \hline 143 & 16.56 & 15.35 \\ \hline 144 & 16.21 & 15.13 \\ \hline 145 & 17.39 & 14.2 \\ \hline 146 & 17.36 & 14.23 \\ \hline 147 & 17.42 & 14.29 \\ \hline 148 & 17.6 & 12.74 \\ \hline 149 & 17.75 & 14.74 \\ \hline 150 & 18.95 & 13.68 \\ \hline \end{tabular} a) (10\%) Model the data as a spline polynomials and plot them along with datapoints. b) (5\%) Find the rates of carbon dioxide produced and oxygen consumed at time of termentation = 151 h. c) (5\%) Using Simpson's 1/3 rule, calculate the total amounts of carbon dioxide produced and oxygen consumed during this ten-hour period of fermentation. d) (5\&) Compare the results of this function and those obtained by using adaptive quadrature
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