A fluid has density 1000 kg/m³ and flows with velocity v = xi + yj + zk, where position is measured in meters, and speed is measured in meters per second. Find the rate of flow outward through the part of the paraboloid æ 36 – y? – z2 where a > 0. kg/s

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
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A fluid has density 1000 kg/m³ and flows with velocity v = xi + yj + zk, where position is measured in
meters, and speed is measured in meters per second. Find the rate of flow outward through the
part of the paraboloid r =
36 – y? – 22 where a > 0.
kg/s
Transcribed Image Text:A fluid has density 1000 kg/m³ and flows with velocity v = xi + yj + zk, where position is measured in meters, and speed is measured in meters per second. Find the rate of flow outward through the part of the paraboloid r = 36 – y? – 22 where a > 0. kg/s
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