Module 4 (Optimization)
 Due Dec 11 by 11:59pm
 Points 100
 Submitting a file upload
Module 4 (Optimization)
Review the R/RStudio installation and R fundamentals as well as the Optimization Chapter of the DSPA Textbook.
 Find the extrema of this variant of the Rosenbrock function, $(100({y}^{2}x{)}^{2}+(x1{)}^{2}+100({w}^{2}z{)}^{2}+(z1{)}^{2})$, N=4, and compare your estimates against the Wolfram Alpha Optimizer.
 Find the minimum of the constrained Mishra's Bird function, $f(x,y)=\mathrm{sin}(y){e}^{\left[(1\mathrm{cos}x{)}^{2}\right]}+\mathrm{cos}(x){e}^{\left[(1\mathrm{sin}y{)}^{2}\right]}+(xy{)}^{2}$, subject to the constraint $(x+5{)}^{2}+(y+5{)}^{2}<25$.
 Minimize the function $f(x,y,x)=({x}^{3}+5y{2}^{z})$
subject to $\{\begin{array}{l}x\frac{y}{2}+{z}^{2}\le 50\\ \phantom{\rule{0.667em}{0ex}}\mathrm{mod}\phantom{\rule{thinmathspace}{0ex}}\phantom{\rule{thinmathspace}{0ex}}(x,4)+\frac{y}{2}\le 1.5\end{array}.$ Check you solution against the Wolfram Alpha solution.
Your submission should include two files: RMD (source) and HTML (knitted report).
Rubric
Keep in mind that 13 students have already been assessed using this rubric. Changing it will affect their evaluations.
Criteria  Ratings  Pts  

Correctness and scientific validity
threshold:
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Result reproducibility
threshold:
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Content focus, presentaiton style, and clarity
threshold:
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Total Points:
100.0
out of 100.0
