The gradient of a curve is such that, at the point (x, y), the gradient of the

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The gradient of a curve is such that, at the point (x, y), the gradient of the curve is proportional to x√y. At the point (3, 4) the gradient of this curve is -5.

a. Form and solve a differential equation to fi nd the equation of this curve.

b. Find the gradient of the curve at the point (−3, 4) .

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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: Apr 05, 2023 11:07 AM

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The gradient of a curve is such that, at the point (x, y), the gradient of the

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a Let y fx be the equation of the curve We are given that the gradient of the curve is proportional ...View the full answer

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

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