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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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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Question Posted: Mar 18, 2023 07:08 AM

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The equation of a curve is 5x 2 + 2xy + 2y 2 = 45. a. Given

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a To find where the tangent is parallel to the xaxis we need to f...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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