The equation of a curve is 5x 2 + 2xy + 2y 2 = 45. a. Given
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The equation of a curve is 5x2 + 2xy + 2y2 = 45.
a. Given that there are two points on the curve where the tangent is parallel to the x-axis, show by differentiation that, at these points, y = −5x.
b. Hence find the coordinates of the two points.
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Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
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