Consider a trough with the shape below. 2 m 5 m 8 m It is full of water, which has a density of 1000 kg/m³. Recall the acceleration due to gravity is 9 = 9.8m/s². Write, but do not evaluate, a definite integral that calculates the work required to pump all the water over the top of the tank.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
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Consider a trough with the shape below.
2 m
5 m
8 m
It is full of water, which has a density of 1000 kg/m³. Recall the acceleration due to gravity is
9 = 9.8m/s².
Write, but do not evaluate, a definite integral that calculates the work required to pump all the
water over the top of the tank.
9800 (2-3)****
dx
16
9800
SC
2).
xx dx
5
5
9800
9800
9800
C
2
2-
•1 ² 3 = x ² d ²
da
5
16
5
16-
2
22
da
x dx
Transcribed Image Text:Consider a trough with the shape below. 2 m 5 m 8 m It is full of water, which has a density of 1000 kg/m³. Recall the acceleration due to gravity is 9 = 9.8m/s². Write, but do not evaluate, a definite integral that calculates the work required to pump all the water over the top of the tank. 9800 (2-3)**** dx 16 9800 SC 2). xx dx 5 5 9800 9800 9800 C 2 2- •1 ² 3 = x ² d ² da 5 16 5 16- 2 22 da x dx
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