Sand is falling into a cone at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately 3 times the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?
The spring-flex exercise system consists of a spring with one end fixed and a handle on the other end. The idea is that you exercise your muscles by stretching the spring from its natural length, which is 33 cm. If a 140 Newton force is required to keep the spring stretched to a length of 51 cm, how much work is required to stretch it from 47 cm to 69 cm?
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