Question: ( a ) Use Gauss' Theorem t o calculate S F * d S where: F = ( 3 x 2 , x y ,

(a) Use Gauss' Theorem to calculate SF*dS where: F=(3x2,xy,z) and
S=del{(x,y,z):x+y+z1 and 0x,y,z}
(b) Calculate SF*dS where F=3xy2i+3x2yj+z3k and Sis the unit sphere with the outward pointing normal
n(x,y,z)=(x,y,z).
( a ) Use Gauss' Theorem t o calculate S F * d S

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