Mathematics

Mathematics

Problem

A particle moves along the curve defined by x=t−sin⁡tx = t - \sin t and y=1−cos⁡ty = 1 - \cos t. Determine the value of d2ydx2\dfrac{d^{2}y}{dx^{2}} at t=π3t = \dfrac{\pi}{3}. a) 44 b) −4-4 c) −2-2 d) 43\dfrac{4}{\sqrt{3}}

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