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Mathematics · May / June 2020 · Paper 42 · Question 10

0580

As printed in the paper

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  • 10(a)(i)[2]

    5 [2]

    M1 for (–1)4 – 4(–1)3

  • 10(a)(ii)[6]

    (0, 0) and (3, –27) [6]

    B2 for 4x3 – 12x2 [ = 0]

    or B1 for 4x3 or 12x2 AND

    M1 for derivative = 0 or their derivative = 0

    M1 for 4x2(x – 3)[= 0]

    B1 for [x =] 0 and [ x =] 3 or [y =] 0 and [y =] –27 or for one correct coordinate pair

  • 10(b)[2]

    [p =] 11 [q =] 5 [2]

    B1 for each dy = p − 1 + q − 1

    or M1 for px 2 qx dx

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