A fluid has density 1200 kg/m³ and flows with velocity v = xi + yj + zk, where x, y, and z are measured in meters, and the components of ú are measured in meters per second. Find the rate of flow outward through the part of the paraboloid z = 36 – x² - y? that lies above the xy plane.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Calc 3 hw q11
A fluid has density 1200 kg/m³ and flows with
velocity i = xi + yj + zk, where x, y, and z are
measured in meters, and the components of v are
measured in meters per second. Find the rate of flow
outward through the part of the paraboloid
36 – x2 – y? that lies above the xy plane.
Transcribed Image Text:A fluid has density 1200 kg/m³ and flows with velocity i = xi + yj + zk, where x, y, and z are measured in meters, and the components of v are measured in meters per second. Find the rate of flow outward through the part of the paraboloid 36 – x2 – y? that lies above the xy plane.
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