The diagram shows a metal plate consisting of a rectangle with sides xcm and rcm and two
Question:
The diagram shows a metal plate consisting of a rectangle with sides xcm and rcm and two identical sectors of a circle of radius rcm. The perimeter of the plate is 100 cm.
a. Show that the area, Acm2, of the plate is given by A = 50r − r2.
b. Express 50r − r2 in the form a − (r − b)2, where a and b are constants.
Given that r can vary:
c. Find the value of r at which A is a maximum
d. Find this stationary value of A.
Transcribed Image Text:
rcm x cm rcm
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a The perimeter of the plate is given by P 2x 2r 100 We can rearrange this equation to solve for x x ...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
Question Posted:
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