Exercise $2$

Use the linspace command or the colon operator : to create a vector $t$ with entries $2,2\mathrm{.}1,2\mathrm{.}2,$dots,$10,$ and define the function $y=\frac{e^{\frac{t}{20}}cos(2t)}{0\mathrm{.}5t^3+11}($make sure you use $"$;$"$ to suppress the output for both $t$ and $y).$

$($a$)$ Plot the function $y$ in black and include a title with the expression for $y.$

$($b$)$ Make the same plot as in part $($a$),$ but rather than displaying the graph as a curve, show the unconnected data points. To display the data points with small circles, use plot $(t,y,{?}^{\text{'}}\text{'}).$ Now combine the two plots with the command plot $(t,y,o^{-\text{'}})$ to show the line through the data points as well as the distinct data points.