The parametric equations of a curve are x = e 2t , y = 4te t .

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The parametric equations of a curve are x = e^2t, y = 4te^t.

i. Show that dy/dx = 2(t + 1)/e^t.

ii. Find the equation of the normal to the curve at the point where t = 0.

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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 03:28 AM

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The parametric equations of a curve are x = e 2t , y = 4te t .

Question:

Step by Step Answer:

i We can use the chain rule to find dydx dydt ddt 4tet 4e2t 8te2t dxdt ddt e2t 2e2t dydx dydtdxdt ...View the full answer

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

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