Work a problem similar to P$3\mathrm{.}7\mathrm{.}6$ in the textbook. Differences:

a$.$ Find the degrees of freedom.

b$.$ What assumptions are inherent in the modeling?

c$.$ Calculate the final steady$-$state heights before you do any modeling. You can use these to

check your Python code.

d$.$ Use Python instead of Matlab to solve the problem. Submit your graph for the heights as

a function of time.

e$.$ Repeat part $d$ with a $10\%$ decrease in $F1$spec. Submit your graph for the heights as a

function of time.

f$.$ Submit your Python file.