Exercise $2$

Use the linspace command or the colon operator : to create a vector $t$ with entries $6,6\mathrm{.}3,6\mathrm{.}6,$dots,$30,$ and define the function $y=\frac{e^{\frac{t}{5}}cos(2t)}{0\mathrm{.}7t^2+15}($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 $(($:$t,y,0^{\text{'}}\}.$ Now combine the two plots with the command plot $(t,y,0^{-\text{'}})$ to show the line through the data points as well as the distinct data points.