$$ All problems in this assignment are to be done using MATLAB.

$$ You will submit two script $(*.$m$)$ files and two function $(*.$m$)$ files, named appropriately and

each containing appropriate comments, containing the solutions to all problems.

a$.$ Script files should be named in the following format: HWxPx$.$m

b$.$ Function files must be named the same as the function.

$$ Only files with $*.$m extensions will be accepted.

$$ It is your responsibility to make sure that your script $(*.$m$)$ file works properly and is free from

errors by utilizing the resources at your disposal.

a$.$ DO NOT use the clear command in your code.

b$.$ All final answers, and ONLY final answers, should be output to the command window, i$.$e$.$

make sure you use the $$;$$ to suppress output of each line that does not need to be

displayed to the command window.HW$2$P$2(9$ points$)$:

The volume $V$ and the surface area $A$ of a torus$-$shaped water tube are given

by:

$V=\frac{1}{4}{}^2(a+b)(b-a{)}^2$ and $A={}^2(b^2-a^2)$

Write a function file $[A,V]=$ Torus $(a,b)$ to determine $V,$ and A and

return them as output arguments with a and $b$ as the input arguments.

Check your results using the following table.

Grading rubric:

Correct function$/$file name: $1$ point

Correct inputs: $2$ points

Correct outputs: $2$ points

Correct calculations: $4$ points

If the code does not run, but a good effort was put forth: $3$ points