The diagram shows part of the curve y = 3x x 3/2 and the lines y
Question:
The diagram shows part of the curve y = 3x – x3/2 and the lines y = 3x and 2y = 27 – 3x. The curve and the line y = 3x meet the x-axis at O and the curve and the line 2y = 27 – 3x meet the x-axis at A.
i. Find ʃ(3x – x3/2) dx.
ii. Find the coordinates of A.
iii. Verify that the coordinates of B are (3, 9).
iv. Find the area of the shaded region.
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i To find 3x x32 dx we integrate each term separately 3x dx 32x2 C1 where C1 is the constant of inte...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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