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Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. x = 2 + (y - 5)², x = 3
Shown is the graph of a force function (in newtons) that increases to its maximum value and then remains constant. F (N) 32 24 16 8 2 4 6 10 12 14 16 x (m) Ⓡ How much work W is done (in J) by the force in moving an object a distance of 16 m?
Suppose that 3 J of work is needed to stretch a spring from its natural length of 32 cm to a length of 52 cm. (a) How much work (in J) is needed to stretch the spring from 40 cm to 44 cm? (Round your answer to two decimal places.) (b) How far beyond its natural length (in cm) will a force of 25 N keep the spring stretched? (Round your answer one decimal place.) cm