The equation of a curve is y = x 3 + px 2 , where p is
Question:
The equation of a curve is y = x3 + px2, where p is a positive constant.
i. Show that the origin is a stationary point on the curve and find the coordinates of the other stationary point in terms of p.
ii. Find the nature of each of the stationary points.
Another curve has equation y = x3 + px2 + px.
iii. Find the set of values of p for which this curve has no stationary points
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i To show that the origin is a stationary point we need to find the derivative of y with respect to ...View the full answer
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Related Book For 
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
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