at t$=0,$ a flywheel has an angular velocity of $6\mathrm{.}7$ rad$/$s$,$ and angular acceleration of $-0\mathrm{.}83$ rad$/$s$^2,$ and a reference line at theta$=0.($a$)$ through what maximum angle $($theta max$)$ will the reference line turn in the positive direction? What are the $($b$)$ first and $($c$)$ second times the reference line will be at theta$=$theta max$/4?$ At what $($d$)$ negative time and $($e$)$ positive time will the reference line be at theta$=-9\mathrm{.}6$ radian?