The diagram shows a 24cm by 15cm sheet of metal with a square of side xcm removed
Question:
The diagram shows a 24cm by 15cm sheet of metal with a square of side xcm removed from each corner.
The metal is then folded to make an open rectangular box of depth x cm and volume Vcm3.
a. Show that V = 4x3 − 78x2 + 360x.
b. Find the stationary value of V and the value of x for which this occurs.
c. Determine the nature of this stationary value.
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a The length of the rectangular box will be 24 2x cm and the width will be 15 2x cm The de...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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