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Homework 5Solutions
Exercise 1. A particle is moved along the x-axis by a force that measures 10/(1 + x)2
pounds at a point x feet from the origin. Find the work done in moving the particle fromthe origin to a distance of 9 feet.
Exercise 2. A circular swimming pool has a diameter of 24 ft, the sides are 5 ft high,and the depth of the water is 4 ft. How much work is required to pump all of the waterout over the side? (Use the fact that water weighs 62.5 lb/ft3.)
Exercise 3. Sketch the region bounded by the given curves and find its center of mass.
1. y =√x, y = x
1