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Suppose That f(x,y,z)=g(x2+y2+z2)f ( x , y , z ) = g \left( \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } \right)

Question 135

Multiple Choice

Suppose that f(x,y,z) =g(x2+y2+z2) f ( x , y , z ) = g \left( \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } \right) where gg is a function of one variable such that g(3) =4g ( 3 ) = 4
Evaluate Sf(x,y,z) dS\iint _ { S } f ( x , y , z ) d S where SS is the sphere x2+y2+z2=9x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 9 .
Select the correct answer.


A) 224π224 \pi
B) 164π164 \pi
C) 264π264 \pi
D) 144π144 \pi
E) None of these

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