L24 Math 233 Lecture Notes - Lecture 33: Iterated Integral, Nissan L Engine, Jacobian Matrix And Determinant
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L24 Math 233 Lecture Notes - Lecture 32: Nissan L Engine, Linear Map, Cross Product
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L24 Math 233 Lecture Notes - Lecture 33: Iterated Integral, Nissan L Engine, Jacobian Matrix And Determinant
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L24 Math 233 Lecture Notes - Lecture 34: Cylindrical Coordinate System, Iterated Integral, Volume Element
Document Summary
, )dzdydx y z b a (x, q p d c dv f f. D = { x 1 0 y 2 0 z y. Now, we"ll consider how to find formula for d given some other description. Call this a type i solid region y e g1 (x, ) (x, ) y z g2 (x, )}g g. Da is the area element in the xy plane. From there, you do a 1-d integral and then a 2-d integral. Similar cases: (x, y z : ( y, ) z e 1 g (y, ) z x g2 (y, )}g g. 1 2 z for the graph on the left (x, )}g g. 1 2 z for the graph on the right where d is the bounded solid bounded by z=0 and x, ) z y g2 y z : ( g (x, ) z e 1 (x, D (x, dv yz f f z = 1 x2 y2.
