xyz dS, where S is the surface with parametric equations x  =  u cos(6v),   y  =  u sin(6v),   z  =  7u,   0  ≤  u  ≤  1,  0  ≤  v  ≤   π 12

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Evaluate the following integral,
 
 
 
 
 
S 
xyzdS,
where S is the surface with parametric equations

x  =  u cos(6v),   y  =  u sin(6v),   z  =  7u,   0  ≤  u  ≤  1,  0  ≤  v  ≤  
π
12
 .
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