What is the Divergence Theorem? Explain how it generalizes Greens Theorem to three dimensions. THEOREM 8-Divergence Theorem
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What is the Divergence Theorem? Explain how it generalizes Green’s Theorem to three dimensions.
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THEOREM 8-Divergence Theorem Let F be a vector field whose compo- nents have continuous first partial derivatives, and let S be a piecewise smooth oriented closed surface. The flux of F across S in the direction of the surface's outward unit normal field n equals the triple integral of the divergence V. F over the region D enclosed by the surface: [[ S F.ndo Outward flux = [[v.1 V.F dV. Divergence integral (2)
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The Divergence Theorem is a fundamental theorem in vector calculus that relates the flux of a vector ...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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