SOLVED:Calculating the divergence in higher dimensions. Let f⃗=f(r) 𝐫̂ be a vector function in ℝ^d. Here 𝐫̂ is a unit radial vector, and r is the radial distance to the origin. Derive a formula for ∇·f⃗ by applying the divergence theorem to a spherical shell of radius r and width d r. Check that for d=3 your answer reduces to ∇·f⃗=f^'(r) (2)/(r) f(r).
SOLVED:Calculating the divergence in higher dimensions. Let f⃗=f(r) 𝐫̂ b…
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