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Consider again the chemical reaction mechanism from PA 9 : d A d t = - k 1 A B + k 2 C d

Consider again the chemical reaction mechanism from PA9:
dAdt=-k1AB+k2C
dBdt=-k1AB+k2C-k3BC
dCdt=k1AB-k2C-k3BC
The goal of this problem is to analyze how the maximum value of C depends on the reaction
rate k3. It's theorized that this dependence can be modeled with the following equation:
Cmax=Zk3m
Write a script m-file and any required function m-files to determine the model constants Z
and m by doing the following:
Solve the system of ODEs for values of k3 varying from 1 to 20 in increments of 2. Set k1=
k2=0.1 for all cases. The only result you need to save from each case is the maximum value
2, and C(0)=0.
Determine the model constants Z and m that result in a least-squares curve fit of the model
for Cmax to the numerical data generated for Cmax vs k3 by the ODE solutions.
Generate a plot of the data (markers only) along with model equation (line only).
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