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A fluid has density 600 kg/m³ and flows with velocity xi+yj + zk, where x, y, and z are measured in meters, and the components of are measured in meters per second. Find the rate of flow outward through the part of the paraboloid z = 25 – x² - y² that lies above the xy plane. kg/s

A fluid has density 600 kg/m³ and flows with velocity xi+yj + zk, where x, y, and z are measured in meters, and the components of are measured in meters per second. Find the rate of flow outward through the part of the paraboloid z = 25 – x² - y² that lies above the xy plane. kg/s

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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A fluid has density 600 kg/m³ and flows with velocity v = xi +yj + zk, where x, y, and z are measured in meters, and the components of 7 are measured in meters per second. Find the rate of flow outward through the part of the paraboloid z = 25 – x² - y² that lies above the xy plane. kg/s
Transcribed Image Text:A fluid has density 600 kg/m³ and flows with velocity v = xi +yj + zk, where x, y, and z are measured in meters, and the components of 7 are measured in meters per second. Find the rate of flow outward through the part of the paraboloid z = 25 – x² - y² that lies above the xy plane. kg/s
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