ABCD is rectangle with base length 2p units, and area A units 2 The points A and B lie on the x axis and the points C and D lie on the curve y 4 x 2 a Express BC in terms of p b Show that A 2p(4 p 2 ) c Find the value of p for which A has a stationary value d Find this stationary value and determin...

a Let BC be equal to h We know that the coordinates of C and D are p 4p2 and p 4p2 resp ...

ABCD is rectangle with base length 2p units, and area A units 2 . The points A

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ABCD is rectangle with base length 2p units, and area A units². The points A and B lie on the x-axis and the points C and D lie on the curve y = 4 – x².

a. Express BC in terms of p.

b. Show that A = 2p(4 – p²).

c. Find the value of p for which A has a stationary value.

d. Find this stationary value and determine its nature.

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Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

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Question Posted: Sep 01, 2021 01:01 AM

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ABCD is rectangle with base length 2p units, and area A units 2 . The points A

Question:

D. y-4-x A -B 2p units

Step by Step Answer:

a Let BC be equal to h We know that the coordinates of C and D are p 4p2 and p 4p2 resp...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

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