A curve C is defined by the parametric equations x = t 2 , y = t
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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 the full answer
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