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On the curve x^(3)=12y, find the interva...

On the curve `x^(3)=12y`, find the interval of value of x for which the abscissa changes at a faster rate than the ordinate?

Text Solution

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The correct Answer is:
`x in (-2,2), -(0)`
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Knowledge Check

  • A point is moving along y^(3) = 27x . The interval in which the abscissa changes at slower rate than ordinate is

    A
    (-2,2)
    B
    `(-oo,oo)`
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    `(-1,1)`
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    `(-oo,-3)cup(3,oo)`

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    (1, 1)
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    (4, 2)
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    (2, 3)

  • The point on the parabola y^2=4x for which the abscissa and ordinate changes at the same rate

    A
    (1, 1)
    B
    (1, 2)
    C
    (4, 2)
    D
    (2, 3)

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