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A mass hanging from a spring is set in motion and its ensuing velocity is...

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Calculus

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A mass hanging from a spring is set in motion and its ensuing velocity is given by v t 5x cos t for t 0 Assume that the positive direction is upward and s 0 C a Determine the position function for t 0 b Graph the position function on the interval 0 3 c At what times does the mass reach its lowest point the first three times d At what times does the mass reach its highest point the first three times

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