> GCE Further Mathematics B (MEI) Y415/01: Mechanics B Advanced Subsidiary GCE Mark Scheme for Autumn 2021

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Mark Scheme October 2021 7 Question Answer Marks AOs Guidance ? = (3? 3−?2?42−?+61 3? ?3) + (? ??12 3) M1 A1 1.1 1.1 Attempt to integrate Correct, including form constants in some Allow constan... t implied by use of limits s to be (( ) ( )) (( ) ( )) ( ) 2 2 2 2 2 3 2 3 1 1 3 3 2 2 2 2 3 4 6 4 3 1 6 1 3 4 4 4 3 1 1 1 4 4 4 1 27 15 12 1098 d  −  −  −  = +  − + −  − + +  −  = + + = M1 1.1 For using dist when t = 4 and t = 1 Dist is 33.1 (cm) A1 1.1 33.136… [7] 3 (a) Vol of C is ??3 B1 2.1 (??3 × ?̅) = ? ∫03? (3?3− ?)2 ?d? M1 A1 2.3 1.1 Allow missing π or limits or bracket wrong, for M1 but y essential. Left side can be implied, or wrong. (??3 × ?̅ =) ? 9 [9 2 ?2?2 − 6 3 ??3 + 1 4 ?4]0 3? A1FT 1.1 Or equivalent Must be a follow through from their attempt at rearrangement for x2 ?̅ = 3 4 ? A1 1.1 AG [5] (b) ??3?? × 3 4 ? = 8?3?? × ? A1 M1 FT 31.1 .1b Allow ft from (a) for M1A1; allow errors in cube for M1 only Density of cone cube ?? [Show More]

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