The parametric equations of a curve are x = e 3t , y = t 2 e

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The parametric equations of a curve are x = e^3t , y = t²e^t + 3.
i. Show that y = dy/dx = t(t + 2)/3e^2t

ii. Show that the tangent to the curve at the point (1, 3) is parallel to the x-axis.

iii. Find the exact coordinates of the other point on the curve at which the tangent is parallel to the x-axis.

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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 22, 2023 05:04 AM

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The parametric equations of a curve are x = e 3t , y = t 2 e

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i To find the derivative of y with respect to x we use the chain rule dydx dydtdxdt 2tet ...View the full answer

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

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