pproximate the requ 8600 m6 X
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:An aquarium 7 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 x* as x₁.)
68600 m6
lim
n→ ∞
/= 1
X
Express the work as an integral.
1/2
137200)
Evaluate the integral.
8575
✓ J
(
Ax
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