Download - 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.

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Page 1: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.

10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates)

Use cylindrical coordinates to represent surfaces in space

Use spherical coordinates to represent surfaces in space

Page 2: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.

CYLINDRICAL COORDINATES

Page 3: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.
Page 4: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.
Page 5: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.
Page 6: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.
Page 7: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.
Page 8: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.

SPHERICAL COORDINATES

Page 9: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.
Page 10: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.
Page 11: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.
Page 12: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.
Page 13: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.

Transform the point from spherical into

Cartesian coordinates.

Page 14: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.
Page 15: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.
Page 16: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.
Page 17: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.
Page 18: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.

Identify the surface:

**

Page 19: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.

Some generalizations about surfaces in spherical coordinates

Page 20: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.

Formulas that will be given to you!! Thanks Ms. Chen!!!

Page 21: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.

PG. 778 #1-65 ODD, 81-84Classwork/Homework