Q. 113.9( 74 Votes )
A particle moves
It is given that equation of the curve is 6y = x3 + 2.
The rate of change of the position of the particle with respect to time (t) is given by:
When the y- coordinate of the particle changes 8 times as fast as the x – coordinate
then, we have,
So, putting the value in (1), we get,
So, when x = +4, then,
So, when x = -4, then, y = -62/6 = -31/2
Therefore, the points required on the curve are (4,11) are (-4, -31/2).
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