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HW15 - W 21""(V‘ X~— j‘g/Xa’ ’:—V‘...

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Unformatted text preview: . W 21"!" (V‘ X~— j‘g/Xa’) ’::—V‘ 3‘?) :X j+9\5\/2‘:;{9\5——> qX23235~25Y1 i—Qaaf— xivlj—v XIé—Wj Math 16B Kouba Handout 9 1.) Determine the volume of the solid formed by revolving the region bounded by the graphs of the given equations about the m—axis. a.) y=cos((l/2)a:), y=0, :2: =0, x=1r b.) y=3+sinx, yzl, 113:0, mzir c.) y: x/icosw, yztanm, 23:0, x=7r/4 2.) Determine the voh‘ime of the solid formed by revolving the region bounded by the graphs of the given equations about the y-axis. . a.) y=x+1, y=0, x=0 b.) yzmz, 312173, 3:0, 3:21 3.) Determine the volume of the solid formed by revolving the region bounded by the graphs of y = e”, y = 1, and as x In 2 about the given axis. SET UP ONLY. a.) x—axis b.) y-axis 4.) Determine the volume of the solid formed by revolving the region bounded by the graphs of y = 4 -— 2x, y = 0, and :c = 0 about the given axis. SET UP ONLY. 3..) z—axis b.) y-axis c.) line a: = 3 d.) line 3/ 2: —2 5.) Determine the volume of the solid formed by revolving the region bounded by the graphs of y = m3 and y = 4x/2—z about the given axis. SET UP ONLY. a.) m—axis b.) y-axis c.) line a: = —1 (1.) line 31 = 8 ; I 1; . ::T‘3:RM2X M— 1TB: (wk—X 1)” .TS %:(x+m2xLM«w(MX-x)lqo ~«(X+ M$X)1§VWCM- :)+TF<MO-o ”Wk/4] “(0%: M3} --. -~ 11"?" In” “015] ' 3:“; % 1 I i i , X 4h) a.) we : 71-30 (q—ozxf‘aux :b) U06: TF5: Clyéyjozdy Tc) VWQ: ”ITS: R147 L! 1 PW30(3) 61y u DIS-2 - T3310? " "So (34*?wa 9a,) vcezngngoex .\ 7r- Sjwwx : Tr 8::(524 @—;x))la(>< -— Tr 8:01)le ...
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