For question 21, Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it. 21. An aquarium 2 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 the fact that the density of water is 1000 kg/m³.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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For question 21, Show how to approximate the required work by a Riemann sum. Then express the
work as an integral and evaluate it.
21. An aquarium 2 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 the fact that the density of water is 1000 kg/m³.)
Transcribed Image Text:For question 21, Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it. 21. An aquarium 2 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 the fact that the density of water is 1000 kg/m³.)
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