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C4J - FOR EDEXCEL GCE Examinations Advanced Subsidiary Core...

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F OR E DEXCEL GCE Examinations Advanced Subsidiary Core Mathematics C4 Paper J Time: 1 hour 30 minutes Instructions and Information Candidates may use any calculator EXCEPT those with the facility for symbolic algebra, differentiation and / or integration. Full marks may be obtained for answers to ALL questions. Mathematical formulae and statistical tables are available. This paper has eight questions. Advice to Candidates You must show sufficient working to make your methods clear to an examiner. Answers without working may gain no credit. Written by Shaun Armstrong Solomon Press These sheets may be copied for use solely by the purchaser’s institute.
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Solomon Press C4 J page 2 1. The region bounded by the curve y = x 2 2 x and the x -axis is rotated through 2 π radians about the x -axis. Find the volume of the solid formed, giving your answer in terms of π . (6) 2. Use the substitution u = 1 1 2 x to find 1 2 1 1 x d x . (6) 3. A curve has the equation 2 sin 2 x tan y = 0.
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