C4 June 2008 mark scheme.pdf
C4 June 2008 mark scheme.pdf
C4 June 2008 mark scheme.pdf
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EDEXCEL CORE MATHEMATICS <strong>C4</strong> (6666) – JUNE <strong>2008</strong>PROVISIONAL MARK SCHEMEQuestionNumberSchemeMarks5 8OB 7 2 4M1 ft3 4Hence,11OB 1 or OB 11i j 11k A111(12 <strong>mark</strong>s)2 2A B7. (a) 24 y (2 y)(2 y) (2 y) (2 y)so 2 (2 ) (2 )A y B y M1Let 2,2 B 4 B , Let 2,1y22 A 4 A M11y2giving1 12 2(2 y) (2 y)A1 cao (3)(b) 2 dy1 dx24 y cot xB11 12 2 d y(2 ) (2 )tan x d xy yln(2 y) ln(2 y) ln(sec x)c B1 M1 A1 ft1 12 2y 0, x3ln 2 ln 2 ln c M11 1 12 2 cos30 ln 2 c c ln 2ln(2 y) ln(2 y) ln(sec x ) ln 21 12 21 2 y sec xln ln2 2 y 2M1ln2 y sec x2ln2 y 2ln2 y sec xln2 y 22M12 y2sec x2 y 4Hence,2 8 4ysec x2 yA1 (8)(11 <strong>mark</strong>s)5