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.

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Chapter1: Functions And Models
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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.
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.
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