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A particle moving on a curve has the pos...

A particle moving on a curve has the position at time `t` given by `x=f'(t) sin t + f''(t) cos t, y= f'(t) cos t - f''(t) sin t` where `f` is a thrice differentiable function. Then prove that the velocity of the particle at time `t` is `f'(t) +f'''(t)`.

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