Question: Solve the following: Let E : Rn {0} -> R be defined as if n = 2, x ER{} E(x) := 2 TT 1

Solve the following:

$Solve the following: Let E : Rn \\ {0} -> R be$

Let E : Rn \\ {0} -> R be defined as if n = 2, x ER"\\{} E(x) := 2 TT 1 (n - 2) Wn | 20/ 12 - 2 " if n > 3, x E R" \\ {0} in which wn is the surface of the n - dimensional ball with radius one. a) Show that E E LI.(R"). b) Prove that AE(x) = 0 if x ERn \\ {0}. c) Show that -AE = do in the distribution sense on R&quot

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