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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 13

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 g is a function of one variable such that g(5) =8g ( 5 ) = 8 . Evaluate Sf(x,y,z) dS\iint _ { S } f ( x , y , z ) d S where S is the sphere x2+y2+z2=25x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 25


A) 920π920 \pi
B) 820π820 \pi
C) 800π800 \pi
D) 880π880 \pi
E) None of these

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