Evaluate the following integral,     ∫     ∫   S  xyz dS,where S is the surface with parametric equationsx  =  u cos(9v),   y  =  u sin(9v),   z  =  7u,   0  ≤  u  ≤  1,  0  ≤  v  ≤   π 18

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Evaluate the following integral,
 
 
 
 
 
S 
xyzdS,
where S is the surface with parametric equations

x  =  u cos(9v),   y  =  u sin(9v),   z  =  7u,   0  ≤  u  ≤  1,  0  ≤  v  ≤  
π
18
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