The diagram shows part of the curve with parametric equations x = 2 In(t + 2), y
Question:
The diagram shows part of the curve with parametric equations
x = 2 In(t + 2), y = t3 + 2t + 3.
i. Find the gradient of the curve at the origin.
ii. At the point P on the curve, the value of the parameter is p. It is given that the gradient of the curve at P is 1/2.
a. Show that P = 1/3p2 + 2 -2.
b. By first using an iterative formula based on the equation in part a, determine the coordinates of the point P. Give the result of each iteration to 5 decimal places and each coordinate of P correct to 2 decimal places.
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Related Book For
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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