Calculate

In each case, r = x i + y j + z k.
(a) F = r/||r||3; S is the solid sphere (x - 2)2 + y2 + z2 ( 1,
(b) F = r/||r||3; S is the solid sphere x2 + y2 + z2 ( a2,
(c) F = r/||r||2; S as in part (b),
(d) F = f(||r||)r; f f any scalar function; S as in part (b),
(e) F = ||r||nr; n ( 0; S is the solid sphere x2 + y2 + z2 ( az (( ( a cos ( in spherical coordinates)?

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