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A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft with an initial speed of 32 ft/s. Air resistance is proportional to speed, with k=1/128 lb-s/ft. Find the maximum height attained...

A constant horizontal force of 10N pushes a 20kg-mass through a medium that resists its motion with 0.5N for every m/s of speed. The initial velocity of the mass is 7 m/s in the direction opposite...

Find the limit of y(t) as t approaches infinity for the initial value problem   y'=sin(y(t)), y(0)=pi/2.   The answer is pi. Please show all your work step by step. Thanks...

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