M 427L Lecture Notes - Lecture 13: Surface Integral, Cylindrical Coordinate System

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It gives us a relationship between line integrals and double integrals ii e iii fp okay in. at ei. n n terminalpointsequal iii i seiegyegqnotsciio. ee com theall differentialform. Fit dablfslxltllxltifzcyctijgytjtfzczctjzytd. lt c inthenegativedirection qq. gg qyq. a g c. Let c be a positively orientedsimple closed curve in the xyplaneandlet tk ii i. Ontriangular curvewith vertices10,0 co 2 2,0 ii fifth eye bottom. 2xy2j d x f cervantes (jc84535) section 7. 6 martines (52860) Multiple-choice questions may continue on the next column or page nd all choices before answering. F(x, y, z) = 3!x + y, x y, x2 + y2 2z# through the surface s parametrized by. The ux of f through s is given by. F( (u, v)) u v dvdu . 1, 1, 2u # , v = ! U v = 4 ! u + v, u v, 1 # . F( (u, v)) = 6! u, 2v, 2v2 # . In cylindrical polar coordinates the cylinder is parameterized by.

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