The diagram shows a window made from a rectangle with base 2r m and height h m

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The diagram shows a window made from a rectangle with base 2r m and height h m and a semicircle of radius r m. The perimeter of the window is 6 m and the surface area is A m².

a. Express h in terms of r.

b. Show that A = 6r – 2r² – ½ πr².

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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Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

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Question Posted: Sep 01, 2021 01:03 AM

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The diagram shows a window made from a rectangle with base 2r m and height h m

Question:

rm hm 2rm

Step by Step Answer:

a h 2 r b A 6 r 2 r 2 r 2 c d A dr 6 4 r r d 2 A dr 2 4 d The value for r for which there is a stati...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

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