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

Page 1 <img data-url='document/107-cylindrical-and-spherical-coordinates-curvilinear-coordinates-use-cylindrical.html?page=1' data-page='1' class='cut-thumb lazyload' alt='Page 1: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader031.cupdf.com/reader031/viewer/2022031802/56649e795503460f94b799b6/html5/thumbnails/1.jpg' width='140' height='200' /> 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 <img data-url='document/107-cylindrical-and-spherical-coordinates-curvilinear-coordinates-use-cylindrical.html?page=2' data-page='2' class='cut-thumb lazyload' alt='Page 2: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader031.cupdf.com/reader031/viewer/2022031802/56649e795503460f94b799b6/html5/thumbnails/2.jpg' width='140' height='200' /> CYLINDRICAL COORDINATES

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Page 9 <img data-url='document/107-cylindrical-and-spherical-coordinates-curvilinear-coordinates-use-cylindrical.html?page=9' data-page='9' class='cut-thumb lazyload' alt='Page 9: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader031.cupdf.com/reader031/viewer/2022031802/56649e795503460f94b799b6/html5/thumbnails/9.jpg' width='140' height='200' /> Page 10 <img data-url='document/107-cylindrical-and-spherical-coordinates-curvilinear-coordinates-use-cylindrical.html?page=10' data-page='10' class='cut-thumb lazyload' alt='Page 10: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader031.cupdf.com/reader031/viewer/2022031802/56649e795503460f94b799b6/html5/thumbnails/10.jpg' width='140' height='200' /> Page 11 <img data-url='document/107-cylindrical-and-spherical-coordinates-curvilinear-coordinates-use-cylindrical.html?page=11' data-page='11' class='cut-thumb lazyload' alt='Page 11: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader031.cupdf.com/reader031/viewer/2022031802/56649e795503460f94b799b6/html5/thumbnails/11.jpg' width='140' height='200' /> Page 12 <img data-url='document/107-cylindrical-and-spherical-coordinates-curvilinear-coordinates-use-cylindrical.html?page=12' data-page='12' class='cut-thumb lazyload' alt='Page 12: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader031.cupdf.com/reader031/viewer/2022031802/56649e795503460f94b799b6/html5/thumbnails/12.jpg' width='140' height='200' /> Page 13 <img data-url='document/107-cylindrical-and-spherical-coordinates-curvilinear-coordinates-use-cylindrical.html?page=13' data-page='13' class='cut-thumb lazyload' alt='Page 13: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader031.cupdf.com/reader031/viewer/2022031802/56649e795503460f94b799b6/html5/thumbnails/13.jpg' width='140' height='200' /> Transform the point from spherical into

Cartesian coordinates.

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Page 19 <img data-url='document/107-cylindrical-and-spherical-coordinates-curvilinear-coordinates-use-cylindrical.html?page=19' data-page='19' class='cut-thumb lazyload' alt='Page 19: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader031.cupdf.com/reader031/viewer/2022031802/56649e795503460f94b799b6/html5/thumbnails/19.jpg' width='140' height='200' /> Some generalizations about surfaces in spherical coordinates

Page 20 <img data-url='document/107-cylindrical-and-spherical-coordinates-curvilinear-coordinates-use-cylindrical.html?page=20' data-page='20' class='cut-thumb lazyload' alt='Page 20: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader031.cupdf.com/reader031/viewer/2022031802/56649e795503460f94b799b6/html5/thumbnails/20.jpg' width='140' height='200' /> Formulas that will be given to you!! Thanks Ms. Chen!!!

Page 21 <img data-url='document/107-cylindrical-and-spherical-coordinates-curvilinear-coordinates-use-cylindrical.html?page=21' data-page='21' class='cut-thumb lazyload' alt='Page 21: 10.7 Cylindrical and Spherical Coordinates (Curvilinear Coordinates) Use cylindrical coordinates to represent surfaces in space Use spherical coordinates.' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader031.cupdf.com/reader031/viewer/2022031802/56649e795503460f94b799b6/html5/thumbnails/21.jpg' width='140' height='200' /> PG. 778 #1-65 ODD, 81-84Classwork/Homework