The diagram shows a piece of wire, of length 2m, is bent to form the shape PQRST.
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The diagram shows a piece of wire, of length 2m, is bent to form the shape PQRST.
PQST is a rectangle and QRS is a semicircle with diameter SQ.
PT = xm and PQ = ST = ym.
The total area enclosed by the shape is Am2.
a. Express y in terms of x.
b. Show that 
c. Find dA/dx and d2A/dx2
d. Find the value for x for which there is a stationary value of A.
e. Determine the magnitude and nature of this stationary value.
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ANSWER a To express y in terms of x we can use the fact that PQST is a rectangle Therefore PQ ST y a...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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