A leaky 10-kg bucket is lifted from the ground to a height of 12m at a constant speed with a rope that weighs 0.5 kg/m. Initiallythe bucket contains 36 kg of water, but the water leaks at aconstant rate and finishes draining just as the bucket reaches the12-m level. Find the work done. (Use 9.8 m/s2 for g.) Show how toapproximate the required work by a Riemann sum. (Let x be theheight in meters above the ground. Enter xi* as xi.).
