M2 Integration嚙豎潘蕭
2012-3-18 12:57
kimwong3252000
M2 Integration嚙豎潘蕭
Find the volume of the solid of revolution generated by revolving the shaded region, where the "arrow" indicates the axis of revolution
[img]http://i.imgur.com/bisJt.jpg[/img]
Answer:
[img]http://i.imgur.com/4i4lG.jpg[/img]
嚙踝蕭嚙踝蕭嚙踝蕭s
2012-3-18 13:02
嚙瞑嚙踝蕭
amath 嚙踝蕭 嚙誹佗蕭嚙瞇嚙諸了(嚙緬)
2012-3-18 13:12
UniCorn
嚙緻嚙踝蕭嚙瘩嚙諍喉蕭嚙踝蕭簡嚙踝蕭a...
嚙緻3嚙諍歹蕭k嚙磅嚙盤trick
(嚙豎改蕭嚙踝蕭嚙踝蕭嚙璀嚙踝蕭...
2012-3-18 13:12
kimwong3252000
[quote]嚙趣帖嚙踝蕭 [i]UniCorn[/i] 嚙踝蕭 2012-3-18 13:12 嚙緻嚙踝蕭
嚙緻嚙踝蕭嚙瘩嚙諍喉蕭嚙踝蕭簡嚙踝蕭a...
嚙緻3嚙諍歹蕭k嚙磅嚙盤trick [/quote]
嚙緘嚙踝蕭嚙踝蕭嚙緘嚙踝蕭嚙踝蕭- -
嚙課以嚙踝蕭嚙豎你嚙窮
2012-3-18 13:17
嚙瞑嚙踝蕭
[quote]嚙趣帖嚙踝蕭 [i]kimwong3252000[/i] 嚙踝蕭 2012-3-18 13:12 嚙緻嚙踝蕭
嚙緘嚙踝蕭嚙踝蕭嚙緘嚙踝蕭嚙踝蕭- -
嚙課以嚙踝蕭嚙豎你嚙窮 [/quote]
- -嚙箠嚙瘡 嚙踝蕭悀嚙踝蕭嚙踝蕭嚙踝蕭嚙踝蕭嚙踝蕭④W嚙踝蕭嚙踝蕭-.-?
2012-3-18 13:21
kimwong3252000
[quote]嚙趣帖嚙踝蕭 [i]嚙瞑嚙踝蕭[/i] 嚙踝蕭 2012-3-18 13:17 嚙緻嚙踝蕭
- -嚙箠嚙瘡 嚙踝蕭悀嚙踝蕭嚙踝蕭嚙踝蕭嚙踝蕭嚙踝蕭④W嚙踝蕭嚙踝蕭-.-? [/quote]
[img]http://i.imgur.com/xWY7Y.jpg[/img]
[img]http://i.imgur.com/KCRvg.jpg[/img]
2012-3-18 13:27
嚙瞑嚙踝蕭
-.-嚙磊嚙線嚙磐嚙踝蕭in 嚙誹以嚙踝蕭嚙踝蕭in 嚙踝蕭
嚙緘嚙瘦嚙磐嚙踝蕭
10嚙罷嚙磐
3.14 s (cosx-1/2)^2 dx
2012-3-18 13:30
嚙瞑嚙踝蕭
14嚙磐嚙罷3.14 [s(sin x -4)^2dx-s(2sin x -4)^2dx]?
================================
嚙緘嚙踝蕭 嚙璀嚙諛己嚙踝蕭嚙踝蕭 嚙緘嚙瘦嚙瞇嚙踝蕭嚙踝蕭嚙踝蕭
[[i] 嚙踝蕭嚙踝蕭嚙諒恬蕭嚙� 嚙瞑嚙踝蕭 嚙踝蕭 2012-3-18 14:12 嚙編嚙踝蕭 [/i]]
2012-3-18 13:48
UniCorn
嚙瘢嚙諸我個蛛蕭嚙論哨蕭嚙瞑嚙璀嚙瘦嚙踝蕭...
嚙磐嚙誹選蕭嚙緩嚙璀嚙踝蕭 - -
[IMG]http://i1218.photobucket.com/albums/dd404/whyeung/SMP/maths3.png[/IMG]
2012-3-18 13:49
kimwong3252000
[quote]嚙趣帖嚙踝蕭 [i]UniCorn[/i] 嚙踝蕭 2012-3-18 13:48 嚙緻嚙踝蕭
嚙瘢嚙諸我個蛛蕭嚙論哨蕭嚙瞑嚙璀嚙瘦嚙踝蕭...
嚙磐嚙誹選蕭嚙緩嚙璀嚙踝蕭 - -
[img]http://i1218.photobucket.com/albums/dd404/whyeung/SMP/maths3.png[/img] [/quote]
嚙誹同嚙璀嚙緘嚙踝蕭@嚙踝蕭
嚙緘嚙踝蕭嚙踝蕭悜嚙窮nswer
嚙課以嚙踝蕭嚙豎你嚙窮
2012-3-18 13:56
UniCorn
[quote]嚙趣帖嚙踝蕭 [i]kimwong3252000[/i] 嚙踝蕭 2012-3-18 01:49 PM 嚙緻嚙踝蕭
嚙誹同嚙璀嚙緘嚙踝蕭@嚙踝蕭
嚙緘嚙踝蕭嚙踝蕭悜嚙窮nswer
嚙課以嚙踝蕭嚙豎你嚙窮 [/quote]
嚙諸個蛛蕭嚙論選蕭
嚙誹用電嚙踝蕭In嚙瑾嚙踝蕭嚙踝蕭嚙磐嚙瞌嚙踝蕭
2012-3-18 13:59
kimwong3252000
[quote]嚙趣帖嚙踝蕭 [i]UniCorn[/i] 嚙踝蕭 2012-3-18 13:56 嚙緻嚙踝蕭
嚙諸個蛛蕭嚙論選蕭
嚙誹用電嚙踝蕭In嚙瑾嚙踝蕭嚙踝蕭嚙磐嚙瞌嚙踝蕭 [/quote]
嚙踝蕭14嚙瞌?
2012-3-18 14:04
UniCorn
[quote]嚙趣帖嚙踝蕭 [i]kimwong3252000[/i] 嚙踝蕭 2012-3-18 01:59 PM 嚙緻嚙踝蕭
嚙踝蕭14嚙瞌? [/quote]
14啱
[IMG]http://i1218.photobucket.com/albums/dd404/whyeung/SMP/maths4.png[/IMG]
2012-3-18 14:06
kimwong3252000
[quote]嚙趣帖嚙踝蕭 [i]UniCorn[/i] 嚙踝蕭 2012-3-18 14:04 嚙緻嚙踝蕭
14啱
[img]http://i1218.photobucket.com/albums/dd404/whyeung/SMP/maths4.png[/img] [/quote]
嚙踝蕭嚙諉哂
2012-3-18 14:09
嚙瞑嚙踝蕭
[quote]嚙趣帖嚙踝蕭 [i]UniCorn[/i] 嚙踝蕭 2012-3-18 14:04 嚙緻嚙踝蕭
14啱
[img]http://i1218.photobucket.com/albums/dd404/whyeung/SMP/maths4.png[/img] [/quote]
-.-嚙瘢嚙諸係4-y 嚙踝蕭嚙磐y-4ge?
2012-3-18 14:28
UniCorn
[quote]嚙趣帖嚙踝蕭 [i]嚙瞑嚙踝蕭[/i] 嚙踝蕭 2012-3-18 02:09 PM 嚙緻嚙踝蕭
-.-嚙瘢嚙諸係4-y 嚙踝蕭嚙磐y-4ge? [/quote]
just the same
嚙踝蕭嚙盤4-y make sense D
radius 嚙磐嚙緣嚙踝蕭嚙窯覺嚙緻嚙褒怪迎蕭
2012-3-18 14:31
嚙瞑嚙踝蕭
[quote]嚙趣帖嚙踝蕭 [i]UniCorn[/i] 嚙踝蕭 2012-3-18 14:28 嚙緻嚙踝蕭
just the same
嚙踝蕭嚙盤4-y make sense D
radius 嚙磐嚙緣嚙踝蕭嚙窯覺嚙緻嚙褒怪迎蕭 [/quote]
嚙稽嚙踝蕭嚙誹伐蕭 嚙踝蕭嚙踝蕭 嚙線嚙諂去x 嚙箭嚙踝蕭睇 嚙踝蕭覺嚙緻嚙踝蕭4-y睇嚙緯嚙踝蕭嚙踝蕭-.-"
2012-3-18 14:35
UniCorn
[quote]嚙趣帖嚙踝蕭 [i]嚙瞑嚙踝蕭[/i] 嚙踝蕭 2012-3-18 02:31 PM 嚙緻嚙踝蕭
嚙踝蕭嚙踝蕭 嚙線嚙諂去x 嚙箭嚙踝蕭睇[/quote]
嚙緻嚙瞌啥 -.-
In volume 嚙瞇嚙瞌嚙踝蕭radius,嚙緘pi r^2 嚙璀嚙踝蕭嚙踝蕭(dx) 嚙窮...
嚙踝蕭 radius 嚙瞌 +ve 嚙豌伐蕭嚙窯嚙窮...
2012-3-18 14:39
嚙瞑嚙踝蕭
[quote]嚙趣帖嚙踝蕭 [i]UniCorn[/i] 嚙踝蕭 2012-3-18 14:35 嚙緻嚙踝蕭
嚙緻嚙瞌啥 -.-
In volume 嚙瞇嚙瞌嚙踝蕭radius,嚙緘pi r^2 嚙璀嚙踝蕭嚙踝蕭(dx) 嚙窮...
嚙踝蕭 radius 嚙瞌 +ve 嚙豌伐蕭嚙窯嚙窮... [/quote]
--------------------------------y=4
嚙碾嚙磊嚙踝蕭
--------------------------------y=0
嚙緻嚙踝蕭嚙瞇嚙瞌 y - 4嚙瘤嚙踝蕭-.-?
嚙踝蕭嚙璀嚙踝蕭y=0嚙踝蕭嚙褕候就嚙箠嚙瘡嚙緯嚙踝蕭嚙緘-.-"
嚙踝蕭嚙盤嚙踝蕭r睇 嚙璀嚙諉喉蕭嚙踝蕭嚙窯 ge
2012-3-18 14:44
UniCorn
[quote]嚙趣帖嚙踝蕭 [i]嚙瞑嚙踝蕭[/i] 嚙踝蕭 2012-3-18 02:39 PM 嚙緻嚙踝蕭
--------------------------------y=4
嚙碾嚙磊嚙踝蕭
--------------------------------y=0
嚙緻嚙踝蕭嚙瞇嚙瞌 y - 4嚙瘤嚙踝蕭-.-?
嚙踝蕭嚙璀嚙踝蕭y=0嚙踝蕭嚙褕候就嚙箠嚙瘡嚙緯嚙踝蕭嚙緘-.-"
嚙踝蕭嚙盤嚙踝蕭r睇 嚙璀嚙諉喉蕭嚙踝蕭嚙窯 ge [/quote]
嚙踝不嚙瞌 equation 嚙踝蕭嚙誹來鳴蕭
shift 嚙篁嚙踝蕭嚙諍我喉蕭嚙線嚙罵嚙踝蕭 radius...
2012-3-18 14:45
嚙瞑嚙踝蕭
[quote]嚙趣帖嚙踝蕭 [i]UniCorn[/i] 嚙踝蕭 2012-3-18 14:44 嚙緻嚙踝蕭
嚙踝不嚙瞌 equation 嚙踝蕭嚙誹來鳴蕭
shift 嚙篁嚙踝蕭嚙諍我喉蕭嚙線嚙罵嚙踝蕭 radius... [/quote]
睇嚙糊嚙篌嚙踝蕭嚙瞑 sosad