For x = ρsinφcosθ; y = ρsinφsinθ; z = ρcosφ: a/ Express ∂^2/∂y^2 with ρ, φ,...

For x = ρsinφcosθ; y = ρsinφsinθ; z = ρcosφ:

a/ Express ∂^2/∂y^2 with ρ, φ, θ, and their partials.

b/ Express ∂^2/∂z^2 with ρ, φ, θ, and their partials.

c/ Express the Laplacian operator using spherical coordinates.

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Expert Solution

milcah answered 1 year ago

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