A type of chemical reaction can be modeled by the equation $$\displaystyle \frac{dx}{dt}=\kappa(\alpha-x)(\beta-x).$$

Part A). If $\alpha=220$ and $\beta=40$ and $\kappa$ is a positive constant produce the phase portrait of the equation in the space below.

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Part B). If $x(0)=0$, how does $x$ behave as $t\to\infty$? ?? tends to zero tends to equilibrium grows without bound

Part C). If you entered 'tends to equilibrium' for part (b), what is the value of the equilibrium? Enter 'NA' if you chose another answer for part (b).
The equilibrium point is .