A particle movesalong the curve .Find the points on the curve at which the y -coordinateis changing 8 times as fast as the x -coordinate.

Theequation of the curve is given as:

Therate of change of the position of the particle with respect to time(t) isgiven by,

Whenthe y-coordinateof the particle changes 8 times as fast as the

x-coordinatei.e.,,we have:

When.

When.

Hence,the points required on the curve are (4, 11) and