Hello I need help with my calculus 2 hw

1.

A cable that weighs 4 lb/ft is used to lift 700 lb of coal up a mine shaft 500 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum. (Let X be the distance in feet below the top of the shaft. Enter Xi* as xi.) [im 2( )Ax Express the work as an integral. A ( )dx Evaluate the integral. ft-lb A leaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.6 kg/m. Initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. Find the work done. (Use 9.8 m/s2 for g.) Show how to approximate the required work by a Riemann sum. (Let x be the height in meters above the ground. Enter xi* as xi.) lim Ax n - 00 Express the work as an integral. dx Evaluate the integral. (Round your answer to the nearest integer.)An aquarium 4 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of the water out of the aquarium. (Use 9.8 m/s2 for g and the fact that the density of water is 1000 kg/m3.) Show how to approximate the required work by a Riemann sum. (Let x be the height in meters below the top of the tank. Enter xi* as xi.) lim EX )Ax Express the work as an integral. 1, ( )dx Evaluate the integral. J