Question: A curve C is defined by the parametric equations x = t 2 , y = t 3 - 3t. (a) Show that C has

A curve C is defined by the parametric equations x = t2, y = t3 - 3t. 

(a) Show that C has two tangents at the point (3, 0) and find their equations.

(b) Find the points on C where the tangent is horizontal or vertical. 

(c) Determine where the curve is concave upward or downward. 

(d) Sketch the curve.

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a Notice that y t 3 3t tt 2 3 0 when t 0 or t 3 Therefore the point 3 0 on C ar... View full answer

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