The diagram shows part of the curve of y = 9x 2 x 3 , which
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The diagram shows part of the curve of y = 9x2 – x3, which meets the x-axis at the origin O and the point A. The line y – 2x + 18 = 0 passes through A and meets the y-axis at the point B.
a. Show that, for x ≥ 0, 9x2 – x3 ≤ 108.
b. Find the area of the shaded region bounded by the curve, the line AB and the y-axis.
Transcribed Image Text:
NOT TO SCALE y = 9x -x y-2x+ 18 = 0 A\
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a To find the maximum value of 9x2 x3 for x 0 we can take the derivative and set it equal to zero dd...View the full answer
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Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
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