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1. Consider the equation 2f(x,y,z)=g(x,y,z). a) If f(x,y,z)=ln(x2+y2+z2+a2) where a is a constant, evaluate g(x,y,z) ? [Hint: Spherical coordinates are helpful.] b) Evaluate IVd3x2f where

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1. Consider the equation 2f(x,y,z)=g(x,y,z). a) If f(x,y,z)=ln(x2+y2+z2+a2) where a is a constant, evaluate g(x,y,z) ? [Hint: Spherical coordinates are helpful.] b) Evaluate IVd3x2f where d3x is the Euclidean space volume element (Griffith's d ) and V is a sphere of radius b centered about the origin. [Hint: Divergence theorem can be helpful.]

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