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Create a bucket by rotating around the y axis the curve y = 3 ln(x - 4) from y = 0 to y = 5. If this bucket contains a liquid with density 860 kg/m³ filled to a height of 3 meters, find the work required to pump the liquid out of this bucket (over the top edge). Use 9.8 m/s² for gravity.

Create a bucket by rotating around the y axis the curve y = 3 ln(x - 4) from y = 0 to y = 5. If this bucket contains a liquid with density 860 kg/m³ filled to a height of 3 meters, find the work required to pump the liquid out of this bucket (over the top edge). Use 9.8 m/s² for gravity.

Advanced Engineering Mathematics
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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Create a bucket by rotating around the y axis the curve y = 3 ln(x − 4) from y = 0 to y = 5. If this bucket - contains a liquid with density 860 kg/m³ filled to a height of 3 meters, find the work required to pump the liquid out of this bucket (over the top edge). Use 9.8 m/s² for gravity.
Transcribed Image Text:Create a bucket by rotating around the y axis the curve y = 3 ln(x − 4) from y = 0 to y = 5. If this bucket - contains a liquid with density 860 kg/m³ filled to a height of 3 meters, find the work required to pump the liquid out of this bucket (over the top edge). Use 9.8 m/s² for gravity.
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