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 x₁* as x₁.) 68600 m6 ) lim 81 /= 1 X Express the work as an integral. 1/2 137200) Evaluate the integral. 8575 ✓ J Ax dx

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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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
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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