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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.

A

`(1,(1)/(2))`

B

`(4,11)`

C

`(2,(5)/(3))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
As per the question
`(dy)/(dt) = 8`
`rArr (3x^(2))/6 = 8 rArr x = +- 4`
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