The curve C has equation y = 5(x 1)(x + 2)/(x 2)(x + 3). i.

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The curve C has equation y = 5(x – 1)(x + 2)/(x – 2)(x + 3).

i. Express y in the form P + Q/x – 2 + R/x + 3.

ii. Show that dy/dx = 0 for exactly one value of x and find the corresponding value of y.

iii. Write down the equations of all the asymptotes of C.

iv. Find the set of values of k for which the line y = k does not interest C.

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Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

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Question Posted: Sep 24, 2021 12:51 AM

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The curve C has equation y = 5(x 1)(x + 2)/(x 2)(x + 3). i.

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i C y 5x y1x2 x2x3x2x3 5y4y1 34y223 ii When x 2 then from the equ...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

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