Edexcel_WS_C4_PaperE

Edexcel_WS_C4_PaperE - Worked Solutions Edexcel C4 Paper E...

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Worked Solutions Edexcel C4 Paper E 1. ( a ) when y = 1 , 4 x 2 + 3 = 12 x 2 = 9 4 x 3 2 (2) ( b ) differentiating, 8 x + 6 y d y d x = 0 d y d x =− 8 x 6 y 4 x 3 y at ± 3 2 , 1 gradient 4 × 3 2 3 2 at ± 3 2 , 1 gradient = 2 (4) 2. ( 8 + x) 1 3 = h 8 ² 1 + x 8 ³i 1 3 = 2 ² 1 + x 8 ³ 1 3 = 2 1 + 1 3 ² x 8 ³ + 1 3 ± 2 3 2 ² x 8 ³ 2 + ... = 2 + x 12 1 288 x 2 + (4) ( b ) for ² 8 + 3 m + m 2 ³ 1 3 , let 3 m + m 2 = x ² 8 + 3 m + m 2 ³ 1 3 = 2 + ´ 3 m + m 2 12 ! 1 288 ² 3 m + m 2 ³ 2 = 2 + 1 4 m + 1 12 m 2 1 288 · 9 m 2 + = 2 + 1 4 m + 1 12 m 2 1 32 m 2 = 2 + 1 4 m + 5 96 m 2 . (3) 3. ( a ) d y d x = 1 2 · 2 cos 2 θ sin θ cos 2 θ sin θ at θ = π 6 , gradient cos π 3 sin π 6 1 2 1 2 1 (2) ( b )a t θ = π 6 ,x = cos π 6 = 3 2 and y = 1 2 sin π 3 = 1 4 3 . equation of tangent is y 3 4 1 ´ x 3 2 ! 4 y 3 4 x + 2 3 4 y + 4 y = 3 3 (3) ( c ) y 2 = 1 4 sin 2 2 θ = 1 4 ( 2 sin θ cos θ) 2 = 1 4 · 4 sin 2 θ cos 2 θ = ( 1 cos 2 cos 2 θ.
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This note was uploaded on 06/04/2010 for the course MATH C4 taught by Professor N/a during the Spring '10 term at Cambridge College.

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Edexcel_WS_C4_PaperE - Worked Solutions Edexcel C4 Paper E...

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