Instructions: Utilizing the program MATLAB...

$1.$ Draw the flowchart of the program that create in the assessment to create the Taylor series that approximate the sin$($x$).$

$2.$ The program has two types, with counter and as vector. Create both flowchart.

$3.$ Change the series sin$($x$)$ to start at one $(1),$ note that the Taylor series sin$($x$)$ shown starts at i $=0($ zero $).$

$4.$ Copy the program code in the same page for both flowchart.

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$sin(x)=x-\frac{x3}{3!}+\frac{x^5}{5!}-\frac{x^7}{7!}+$dots$+(-1{)}^n\frac{x^n}{n}={\displaystyle \underset{i=0}{\overset{}{}}}(-1{)}^i\frac{x^{2i+1}}{(2i+1)!}$