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Green's Theorem Examples
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Classroom Contents
Stewart Calculus - Vector Calculus
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- 1 Line Integrals of Scalar Functions: Evaluate Line Integrals : Contour Integrals
- 2 Line Integral of a Vector Field :: F(x,y,z) = sin(x) i + cos(y) j + xz k
- 3 Fundamental Theorem for Line Integrals :: Conservative Vector Field Line Integral
- 4 Green's Theorem Examples
- 5 Scalar Surface Integral ∫∫ x^2yz dS where S is part of the plane z=1+2x+3y
- 6 Scalar Surface Integral ∫∫xy dS, S is the triangular region (1,0,0), (0,2,0), (0,0,2)
- 7 Evaluate the Surface Integral over the Helicoid r(u,v) = ucos v i + usin v j + v k
- 8 Find the Flux of the Vector Field F = x i + y j + z^4 k Through the Cone with Downward Orientation
- 9 Use Stokes' Theorem to Evaluate the Surface Integral
- 10 Divergence Theorem:: Find the flux of F = ( cos(z) + xy^2, xexp(-z), sin(y)+x^2z )
