A computer virus obeys the logistic model for the number of infected computers, P$($t$).$ It satisfies the equation $($dP$)/($dt$)=(4)/(1300)$P$(13-$P$)$ for P$>0($a$)$ Sketch a slope field for this d$.$e$.$ Include three solution curves showing the three different types of behavior $($can you actually sketch the slope field$).($b$)$ The number of infected computers is increasing when P$>$t$->\backslash$infty P$(0)=4$P$(77)($c$)$ The number of infected computers is decreasing when P$>($d$)$ What is the limiting value of the size of the population as t$->\backslash$infty $?($e$)$ Assume that P$(0)=4.$ Find P$(77).$