**F**=−k∇T, where T(x,y,z) is the temperature in the object and k is a constant that depends on the material. Compute the outward flux of

**F**across the given surface S for the given temperature distribution. Assume k=1.

^{2}+y

^{2}+ z

^{2})

^{2}+y

^{2}+z

^{2}=a

^{2}

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