1.

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-coordinateA. `(1,(1)/(2))`B. `(4,11)`C. `(2,(5)/(3))`D. None of these

Answer» Correct Answer - B
As per the question
`(dy)/(dt) = 8`
`rArr (3x^(2))/6 = 8 rArr x = +- 4`


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