Question6. Find the points on the given curves where the tangent is horizontal or vertical. Check your answers with your grapher. (a) $x=10-t^{2}, \quad y=t^{3}-12 t$ (b) $x=\sec \theta, \quad y=\tan \theta$

Studdy Solution
Verify results using a grapher.
The points with horizontal tangents for part (a) are $(6, -16)$ and $(6, 20)$, and the point with a vertical tangent is $(10, 0)$. For part (b), there are no horizontal tangents, and the points with vertical tangents are $(1, 0)$ and $(-1, 0)$.