The diagram shows a window made from a rectangle with base 2rm and height hm and a
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The diagram shows a window made from a rectangle with base 2rm and height hm and a semicircle of radius rm. The perimeter of the window is 5m and the area is Am2.
a. Express h in terms of r.
b. Show that 
c. Find dA/dr and d2A/dr2
d. Find the value for r 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 Expressing h in terms of r The perimeter of the window consists of the base 2r and two side...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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