Question: Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it. A leaky 10-kg bucket

Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it.

A leaky 10-kg bucket is lifted from the ground to a height of 12 m at a constant speed with a rope that weighs 0.8 kg/m.
Initially the bucket contains 36 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 12-m level. How much work is done?

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At a height of x meters 0 x 12 the mass of the rope is 08 kgm12 ... View full answer

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