Let v = 7zk be the velocity field (in meters per second) of a fluid in R°. Calculate the flow rate (in cubic meters per seconds) through the upper hemisphere (z > 0) of the sphere x² + y² + z? = 16. (Use symbolic notation and fractions where needed.) · dS = m³/s

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Let v = 7zk be the velocity field (in meters per second) of a fluid in R³. Calculate the flow rate (in cubic meters per
seconds) through the upper hemisphere (z > 0) of the sphere x? + y? + z? = 16.
(Use symbolic notation and fractions where needed.)
· dS =
m³/s
Transcribed Image Text:Let v = 7zk be the velocity field (in meters per second) of a fluid in R³. Calculate the flow rate (in cubic meters per seconds) through the upper hemisphere (z > 0) of the sphere x? + y? + z? = 16. (Use symbolic notation and fractions where needed.) · dS = m³/s
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