On the curve x3=12y, the values of x for which the abscissa changes at a faster rate than the ordinate is

On the curve x3=12y, the values of x for which the abscissa changes at a faster rate than the ordinate is

  1. A

    (2,2)~{0}

  2. B

    (3,3)~{0}

  3. C

    (1, 4) 

  4. D

    (2, 4)

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    Solution:

    3x2dxdy=12dxdy=4x2. We need dxdy>1

    4x2>1x2<4,x0x(2,2)~{0}

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