Given the scalar field h(r, θ, φ) = r²(1 − 5 cos²θ), check if each result presented in the items below is true or false: a) ∇ · (∇h) = 2(3 − 5 cos2 θ) b) ∇ × (∇h) = 5(1/r − 2) sen 2θ*eφ.
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Given the scalar field h(r, θ, φ) = r²(1 − 5 cos²θ), check if each result presented in the items below is true or false:
a) ∇ · (∇h) = 2(3 − 5 cos2 θ)
b) ∇ × (∇h) = 5(1/r − 2) sen 2θ*eφ.
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