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A particle moves along the curve 6y = x^...

A particle moves along the curve 6y = `x^(3) +2.` Find the points on the curve at which the y-coordinate is changing 8 times as fast as the x-coordinate.

Answer

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Knowledge Check

  • Find the point on the curve 6y=x^(3)+2 at which y-coordinate changes 8 times as fact as x-coordinate is

    A
    `(4,11)`
    B
    `(4,-11)`
    C
    `(-4,11)`
    D
    `(-4,-11)`
  • Find the point on the curve 6y = x^(3) + 2 at which y-coordinate changes 8 times as fast as x-coordinate is:

    A
    (4,11)
    B
    `(4,-11)`
    C
    `(-4,11)`
    D
    `(-4,-11)`
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