Before you turn this problem in, make sure everything runs as expected. First, restart the kernel (in the menubar, select Kernel\(\rightarrow\)Restart) and then run all cells (in the menubar, select Cell\(\rightarrow\)Run All).

Make sure you fill in any place that says YOUR CODE HERE or “YOUR ANSWER HERE”, as well as your name and collaborators below:

NAME = ""
COLLABORATORS = ""

The modified Rosenbrock equation:

\(f(x_1, x_2) = 100 (x_2 - x_1^2)^2 + (6.4 (x_2 - 0.5)^2 - x_1 -0.6)^2\) has three minima in the range of \(-2 < x_1 < 2\) and \(-2 < x_2 < 2\). Find these minima and their values. Plot them and show they are minima.

When you are done, download a PDF and turn it in on Canvas. Make sure to save your notebook, then run this cell and click on the download link.

%run ~/s25-06623/fs25.py
%pdf