$7.$ A particle moves along the x$-$axis while acted on by a single conservative force parallel to the x $-$axis. The force corresponds to the potential energy function graphed in the figure below. The particle is releasedf from rest at point $\backslash ($ A $\backslash ).($a$)$ What is the direction of the force on the particle when it is at point $\backslash ($ A $\backslash )?($b$)$ At point $\backslash ($ B $\backslash )?($c$)$ At what value of $\backslash ($ x $\backslash )$ is the kinetic energy of the particle a maximum? $($d$)$ What is the force on the particle when it is at point $\backslash ($ C $\backslash )?($e$)$ What is the largest value of $\backslash ($ x $\backslash )$ reached by the particle during its motion? $($f$)$ What value or values of $\backslash ($ x $\backslash )$ correspond to points of stable equilibrium? $($g$)$ Of unstable equilibrium?