The diagram shows a metal plate consisting of a rectangle with sides x cm and y cm
Question:
The diagram shows a metal plate consisting of a rectangle with sides x cm and y cm and a quarter-circle of radius x cm. The perimeter of the plate is 60 cm.
i. Express y in terms of x.
ii. Show that the area of the plate, Acm2, is given by A = 30x − x2.
Given that x can vary,
iii. Find the value of x at which A is stationary,
iv. Find this stationary value of A, and determine whether it is a maximum or a minimum value.
Transcribed Image Text:
x cm y cm →→xcm
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i The perimeter of the plate is given as 60 cm This consists of the rectangle and a quartercircle Th...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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