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Shells - Formula for rotating regions using the 511011...

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Unformatted text preview: Formula for rotating regions using the 511011 Method ['1 I ('onsidor the region bounded by tho curve .1' : 2.113 —— y" and the y—axis in the first quadrant. [750 the n'lothod of shells to (‘on'lpntP the volume of the solid ohlailmd by rotating this region around the x-axis. ('nnsider the region bounded by the curve 3/ = 2.1: — .1-3 and me x—axis in the first qnadram. Use the method of shells to compute the volume of the solid obtained by rotating this region around the y—nxis. Regions bounded by two curves (Tonsidor thv region in the first quadrant bounded by the curves g2 : .r and g : .r Use the method of sheils to compute the volume of the solid obtained by rotating this region around the _\'-axis. 3 ('onsider the region in 1.110 first quadrant boundod by tho cum-'05 y" : .1' and y : .I'”. Use tho method of 5110118 to ("Olllpllfl‘ tho volnlnv of L110 solid obtained by rotating this region around the x—axis. Rotating about things that aren’t the. axes! Consider tho region hounded by lhc graphs of 3/ = .1'2 and y = .1' + '2. Use the method of shells to find the volume of thv solid oblaim‘d by rotating about the line x:3 Find tho volume of the solid obtained by rotating the region bounded by y : .r — .1'3 about the line x:2 Find the volumo of lhv solid genvratc‘d by rotating tho l'ogion houndvd by .I' : 3 — y and .1: : 4 — [1/ — I)", about the line yer ...
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