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...Spring problems dierentiation of trigonometric functions dierentiate the following f x sin cos ln e xsin sketch a graph function y find all extrema for and asymptotes note this is csc mass at end without any damping executes simple harmonic motion described by equation t acos where position from rest time suppose that cm in seconds maxmimum minimum displacements positions what period oscillation b expressions velocity v acceleration also determine maximum when it occurs during normal breathing volume lungs varies between ml with about one breath every exchange air called tidal assume satises cosine written manner bcos are constants use data above techniques previous section to create model i nd simulates an individual rate sec as exhaled loss rst c both its derivative person walking magnitude vertical force acting on foot can be approximated bt asin proportional weight then times zero dierence these length ground how long show has value lamp adjustable height hangs circular table radiu...