Lecture #28-29. CH 15.6Cylindrical and spherical triple integrals

Lecture #28-29. CH 15.6Cylindrical and spherical triple integrals

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Unformatted text preview: Math 234 SS 2008 CH.15.5 Triple Integrals in Cylindrical and Spherical Coordinates. Lecture #28 When calculations in physics, engineering, or geometry involve a cylinder, cone, or sphere, we can simplify our work by using cylindrical or spherical coordinates. The procedure of transforming to these coordinates and evaluating the resulting triple integrals is similar to the transformation to the polar coordinates. Cylindrical Coordinates. Cylindrical coordinates are good for describing the solids that are symmetric around an axis (for example, z-axis). The solid is three- dimensional, so there are three coordinates r- distance from the z- axis, - the angle around the axis, z - along the axis. 1 Math 234 SS 2008 CH.15.5 Triple Integrals in Cylindrical and Spherical Coordinates. Lecture #28 This is a mixture of polar coordinates in a plane ( r , ) and in addition directed distance from the plane, z coordinate . 2 Math 234 SS 2008 CH.15.5 Triple Integrals in Cylindrical and Spherical Coordinates. Lecture #28 3 Math 234 SS 2008 CH.15.5 Triple Integrals in Cylindrical and Spherical Coordinates. Lecture #28 Elementary Volume in Cylindrical Coordinates....
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Lecture #28-29. CH 15.6Cylindrical and spherical triple integrals

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