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CalculusQ&A LibraryThe heat flow vector field for conducting objects is 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. T(x,y,z,)=−7ln( x2 +y2 + z2) S is the sphere x2+y2+z2=a2Question

The heat flow vector field for conducting objects is **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.

T(x,y,z,)=−7ln( x^{2} +y^{2} + z^{2})

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