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A curve is deﬁned by the parametric equations x=t^2 and y=t^33t ,
(a) Show that has two tangents at the point (3, 0) and ﬁnd their equations.
(b) Find the points on where the tangent is horizontal or vertical.
(c) Determine where the curve is concave upward or downward.
(d) Sketch the curve.
 7 months ago
 7 months ago
A curve is deﬁned by the parametric equations x=t^2 and y=t^33t , (a) Show that has two tangents at the point (3, 0) and ﬁnd their equations. (b) Find the points on where the tangent is horizontal or vertical. (c) Determine where the curve is concave upward or downward. (d) Sketch the curve.
 7 months ago
 7 months ago

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MarcLeclairBest ResponseYou've already chosen the best response.0
I haven't dealt with tangent lines in ever. I remember the formula yb = f'(a)(xa) and I know I have to use dy / dx = (dy/dt) / (dx/dt). So I know that at x = 3, t is +/ sqrt (3) and same with y, however y is 0 , +/ sqrt (3). After that I'm kinda lost.
 7 months ago
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