The equation of a curve is xy(x 6y) = 9a 3 , where a is a

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The equation of a curve is xy(x − 6y) = 9a³, where a is a non-zero constant. Show that there is only one point on the curve at which the tangent is parallel to the x-axis, and find the coordinates of this point.

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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 28, 2023 03:43 AM

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The equation of a curve is xy(x 6y) = 9a 3 , where a is a

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To find the point on the curve where the tangent is parallel to the xaxis we need to find where the ...View the full answer

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

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