# 17) Find the points on the curve at which the slope of the tangent is equal to the y-coordinate of the point.

Given equation of curve is
Slope of tangent =
it is given that  the slope of the tangent is equal to the y-coordinate of the point

We have

So, when x = 0 , y = 0
and when x = 3 ,

Hence, the coordinates are (3,27) and (0,0)

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