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A particle moves along y = 2/3x^3 + 1. Find the points on the curve at

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A particle moves along y = 2/3x3 + 1. Find the points on the curve at which y – coordinate is changing twice as fast as the x – coordinate.

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Given equation

y = 2/3x3 + 1 …..(i)

Let position of particle at time ’t’ is p(x, y) and hence p(x, y) is situated on curve (i).

y = 2/3x3 + 1

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