The diagram shows a metal plate. The plate has a perimeter of 50 cm and consists of
Question:
The diagram shows a metal plate. The plate has a perimeter of 50 cm and consists of a rectangle of width 2rcm and height xcm, and a semicircle of radius r cm.
a. Show that the area, Acm2, of the plate is given by
Given that x and r can vary:
b. Show that A has a stationary value when
c. Find this stationary value of A and determine the nature of this stationary value.
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a To find the area of the metal plate we need to add the areas of the rectangle and the semicircle T...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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