Part a$)$

Build a well$-$commented block diagram that performs all of the following operations:

$($i$)$ Adds two constant values a and b together.

$($ii$)$ Multiplies the result from $($i$)$ with a Sine Wave of amplitude c and frequency d in Hz$.$ Make sure the sine wave block is using the $$simulation time$,$ as an input, NOT the $$external signal$$ option.

$($iii$)$ Integrates the result from $($ii$)$ with an initial condition of zero.

$($iv$)$ Stores the $$nal result from $($iii$)$ into an Array in the MATLAB workspace called $$SimOut $$ using the $$To Workspace$$ Block

$($v$)$ Saves a time vector called $$TimeOut$$ using the $$Clock$/$Timer$$ Block and a $$To Workspace$$ Block

$($vi$)$ Uses a $$xed sample time of $0\mathrm{.}01,$ and an automatic solver selection $($See Model Con$$guration Parameters$)$

Save your block diagram in the current working folder with a descriptive name, such as $$Part$\_$a$\_$Model$.$

Note: Your simulation will not run until you complete part b$).$

Part b$)$

Start a new script, begin a code cell for Part b$.$ Your code should perform the following when executed:

$($i$)$ De$$ne the variables a$,$ b$,$ c$,$ and d$.$ Begin with a $=2,$ b $=3,$ c $=0\mathrm{.}25,$ d $=1.$

Next, call the block diagram and run the simulation for $10$ seconds. The sim$()$ Function can be run from a MATLAB script. In this case storing the data in a variable $$SimData$,$ the data can be accessed in the following way.

SimData$=$sim$($Part$\_$a$\_$Model$)$

Yvals$=$SimData.SimOut

Xvals$=$SimData.TimeOut

$($ii$)$ Next, make a plot of the output variable as a function of time, including a title, legend, grid, x$-$label, and y$-$label.

Part c$)$

Suppose now you are interested in viewing the signal prior to being integrated.

To do this, make a copy of your model from Part a$)$ and rename it$.$ Then modify this new model to output the signal prior to being integrated as well as the original signal.

In the same script, begin a new code cell for Part c$).$ Your code should perform the following when executed:

$($i$)$ De$$ne the variables a$,$ b$,$ c$,$ d$.$ Begin with a $=2,$ b $=3,$ c $=0\mathrm{.}25,$ d $=1.$

$($ii$)($ii$)$ Call the modi$$ed block diagram and run the simulation for $10$ seconds

$($iii$)($iii$)$ On the same set of axes, make a plot of the two output variables as a function of time, including a title, legend, grid, x$-$label, and y$-$label

Please show how to write all code in MATLAB including how to create the Simulink Model of Part a