1.
Consider the curve represented parametrically by the equations x=t34t23tx = t^3 - 4t^2 - 3t and y=2t2+3t5y = 2t^2 + 3t - 5 where tRt \in \mathbb{R}. If HH denotes the number of points on the curve where the tangent is horizontal and VV the number of points where the tangent is vertical, then: