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Differentiable Functions / Zorich

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A body that can be regarded as a point mass is sliding down a smooth hill under the influence of gravity. The hill is the graph of a differentiate function y = f(x).

a) Find the horizontal and vertical components of the accleration vector thatthe body has at the point $(x_0, y_0)$.
b) For the case f(x) = $x^2$ when the body slides from a great height, find thepoint of the parabola y = $x^2$ at which the horizontal component of the acceleration is maximal.

I've tried but i don't even know where to begin. Thank you for your interest.


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