11. (a) Let B be a closed region in R³ bounded by a simple closed surface S and let the vector field F be defined and continuously differentiable throughout B. Rewrite SLLe div FdV in terms of a surface integral over S. (b) Let B be a ball centred at 0 with radius 2 and let S be the sphere of radius 2, which bounds B. Let F(x, y, z) = r/(r + 2) with r (x, y, z) and r = |r]. Using Gauss's divergence theorem or otherwise compute SI. div FdV. Hint: You may use that the surface area of a sphere with radius 2 is given by 167.

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A: please comment if you need any clarification. If you find my answer useful put thumbs up. Thank you.

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