General: Water Power The proportion of a river’s energy that can be obtained from an und...

General: Water Power The proportion of a river’s energy that can be obtained from an undershot waterwheel is where x is the speed of the waterwheel relative to the speed of the river. Find the maximum value of this function on the interval [0, 1], thereby showing that only about 30% of a river’s energy can be captured. Your answer should agree with the old millwright’s rule that the speed of the wheel should be about one-third of the speed of the river.