Homework Assignment $\backslash$#$3-$ Part $1$

This assignment is worth $100$ points and consists of two parts. This is Part $1,$ which covers symbolic mathematics. Part $2$ will cover user defined functions. Both Part $1$ and $2$ are due Tuesday, October $29\backslash (\{\}^\{\backslash$text $\{$th $\}\}\backslash )$ on Canvas. Code must be written in MATLAB, be well documented, and be composed as follows: Part $1$ should be solved with one $\backslash ($ M $\backslash )$ file using sections. Part $2$ should be solved with multiple function files and a single script using sections that calls your functions.

$1.$ Consider Ohm's law, which describes the relationship between voltage $($ V $,$ in Volts$),$ current $($I$,$ in Amperes$)$ and resistance $($ R $,$ in Ohms$).$ The equation is as follows:

$\backslash [$

V$=$I R

$\backslash ]$

Use the Problem$-$Solving Framework and the Symbolic Mathematics capabilities of MATLAB to solve the problem below. The written answers of the problem$-$solving framework can be added as comments in your script $($remember$,$ state the problem, describe inputs and outputs, and your algorithm for solving the problem$).$

Given $\backslash ($ V$=12\backslash$mathrm$\{$~V$\}\backslash )$ and $\backslash ($ I$=2\backslash$mathrm$\{$~A$\}\backslash ),$ find the resistance R $.$

$2.$ Consider the equation below. The script below it attempts to perform the following: $(1)$ implements this equation in MATLAB as a symbolic equation, $(2)$ tries the expand and simplify functions and displays the results, and $(3)$ solves for $\backslash ($ x$=2\backslash ).$ However, the code has bugs, and therefore, does not run properly. Copy the code into your script, debug the code, comment each line, and for each line where a bug was found, describe how you fixed the bug.

$\backslash [$

y$=($x$+2)($x$-3)($x$+1)$

$\backslash ]$

clear

clc

syms x

Eqn $\backslash (=\backslash$mathrm$\{$y$\}=(\backslash$mathrm$\{$x$\}+2)*(\backslash$mathrm$\{$x$\}-3)*(\backslash$mathrm$\{$x$\}+1)$ ; $\backslash )$

$\backslash (\backslash$operatorname$\{$expd$\}(\backslash )$ Eqn $\backslash ()\backslash )$

simple$($Eqn$)$

double$($dsolve$($subs$($Eqn$,$x$,2),$y$))$