Question: Please show all work for the question. Provided Gauss' Law for a domain in R 3 . Let r = x i ^ + y

Please show all work for the question.

Provided Gauss' Law for a domain in R3.

Let r=xi^+yj^+zk^ such that r=x2+y2+z2

Then, R r3rn^d = {4,0,ifthepoint0=(0,0,0)Rifthepoint0=(0,0,0)/Dor/D

Some important relations to realize:

- 2r1=0 for r>0

- The power of r1 is the dimension minus 2

How can one determine what function f(r) has the property that 2f(r)=0 for r>0 & f(r) as r0. Here r=x2+y2 & r=i^+j^

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