answer this matlab problem statement and work through each point of the problem. Please work this out in MATLAB only! Thanks!

Problem statement:

The RC circuit shown is composed of a resistor, a capacitor, and a DC voltage source:

where $V_0=12V,R=3800,$ and $C=4000{10}^{-6}F.$ The voltage on the capacitor $V_C$

gradually increases when the switch is closed. Theoretically, $V_C$ as a function of time is given by:

$V_C=V_0[1-e^{-\frac{t}{RC}}]$

Goal: Create a plot of voltage $V_C$ vs$.$ time $t.$

Write a function program the following features $($template provided$)$:

$($a$)$ Name the function voltageTheo.

$($b$)$ Name the input argument to the function as time and the output argument as voltage.

$($c$)$ Assign the values for $V_0,R,$ and $C$ to the variables V$0,$ R$,$ and $C,$ respectively.

$($d$)$ Using the equation given above, the function calculates the theoretical voltage $V_C($voltage$)$

for each value of time $t($time$).$ Use element$-$wise operations as needed.

Write a script program that performs the following $($template provided$)$:

$($a$)$ Create a row vector with $200$ equally spaced values for time from $0$ to $50.$ Assign the vector

to the variable $t\_$theo.

$($b$)$ Call the function voltageTheo with $t_{-}$theo as the input and assign the output to $V_{-}$theo.

$($c$)$ Create a plot of voltage $V_C$ vs$.$ time $t$ for the theoretical data $($as a solid red line$).$

$($d$)$ Label the horizontal axis as "Time, $t($s$)"$ and the vertical axis as "Voltage, V$\_$C $($V$)".$

$($e$)$ Add a title to the plot that reads "Plot of the capacitor voltage for an $RC$ circuit."

Submit:

Each of your programs $($function and script$)$ as separate m$-$files. Do not submit the plot.

A single docx$-$file containing both programs $($function and script$).$ Do not submit the plot.

Extra$-$credit $(+5\%)$: Use MATLAB's "Publish" feature to create a PDF file.