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A particle moves along the curve `12y=x^(3)`. . Which coordinate changes at faster rate at `x=10`?A. x-coordinateB. y-coordinateC. Both x and y-coordinateD. Data insufficient

Answer» Correct Answer - B
`12y=x^(3)rArr 12dy=3x^(2)dx rArr (dy)/(dt)=(x/2)^(2)((dx)/(dt))`
Therefore for `(x/2)^(2) gt 1` or `x gt 2`, y-coordinate changes as faster rate.


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