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: Functions of several variables, Taylor formulas, and optimization. Integral Calculus Analisi Matematica 2 Giusti Pdf 184
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Calcolare il flusso del campo vettoriale [ \mathbfF(x,y,z) = (x^2, y^2, z^2) ] attraverso la superficie chiusa formata dal cilindro (x^2 + y^2 = R^2) con (0 \le z \le h) e dai due dischi di copertura (z=0) e (z=h) (con normale esterna).
By divergence theorem: [ \Phi = \iint_\partial V \mathbfF\cdot \mathbfn , dS = \iiint_V (2x+2y+2z) , dV ]