Calc 3 Test 4

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Calculus - Geometry

user_hassanuml Created by 6 mon ago

Cards in this deck(16)

Fdr integral is path independent, integral is zero for all closed loop, and is Py = Qx

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integral of Fdr in any path is equal to each other

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Qx = Py, Pz = Rx, Qz = Ry

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double integral of divergence

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Px + Qy + Rz (dot product of the gradient and F)

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Ry - Qz, Pz - Rx, Qx - Py (cross product of the gradient and F)

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F is conservative

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fluid expansion

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fluid is incompressible

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counterclockwise is the default

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negative value

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double integral with the cross product of Ru and Rv

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integral of F(r(t))*|r'(t)| dt

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outside is ccw, inside is cw

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then integral of the outside - integral of the inside = (Qx-Py)*area

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1/SA * double integral of the function dS

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