PQRS is a rectangle with base length 2p units and area Aunits 2 . The points P
Question:
PQRS is a rectangle with base length 2p units and area Aunits2.
The points P and Q lie on the x-axis and the points R and S lie on the curve y = 9 − x2.
a. Express QR in terms of p.
b. Show that A = 2 p (9 − 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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a Since P and Q lie on the xaxis their ycoordinates are both 0 Similarly since R and S lie on the cu...View the full answer
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Related Book For 
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
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