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A particle moves along the curve 6y=x^(3...

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.

Text Solution

Verified by Experts

The correct Answer is:
(4, 11) and `(-4,-(31)/(3))`
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Knowledge Check

  • A particle moves along the curve y=x^((3)/(2)) in the first quadrant in such a way that its distance from the origin increases at the rate of 11 units/sec. The value of (dx)/(dt) when x = 3 is …………

    A
    4
    B
    `(9)/(2)`
    C
    `(3sqrt(3))/(2)`
    D
    None of these

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