Please donde provide a numeric response and the asked graph with the asked analysis. Thank You!

This pipe is connected to a sprinkler, and the jet of water can come out at any direction $(in[0,360])$ with a force of $325N.$ You are concerned with the variation of magnitude of Moment produced by the jet at point $A$ as the $$ changes.

$1)$ Create a plot$/$graph showing the variation of Moment magnitude at $A$ as a function of angle of jet angle. Your $x-$axis should be in terms of angle of the jet. Specifically, please use$0,45,90,135,180,225,270,315,$ and $360$ as your data points for $x-$axis. Your $y-$axis should show the magnitude of Moment corresponding to the aforementioned selected angles.

$2)$ Using the plot$/$graph$,$ please comment on the direction $$ for which the force of jet $F)$ produces minimum and maximum magnitude of Moment at point $A.$

$3)$ Confirm your answer using differentiation of the moment function created for the force $F$ about point $A$ to find the maxima and minima moment magnitude $.$