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  3. for x = ρsinφcosθ; y = ρsinφsinÎ

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

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Basic Math

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 sphericalcoordinates.

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