72=,dd +(I)   1Courier New1Symbol New1Courier New1Courier NewTimesr NewTimes New Roman1Courier New1Courier New1Courier New1Courier NewX5VX5VX5VX5V?/ <```@@@?~~~~~ԱޱޱԱ޿޿ph (((Pdd{ d<  p {2  %?"r) ؅@Xd1ys_ה(<@j;VW+@??? a @жyZM@@Xq @ʁ ʁhfffff nʁ@Vv@hfffff@033333??@3X3X ^ߛOw?̌???uXIc@VX@@?@ @@@O?wC~UwC~@@@@@@Mz^zGz??M@@@dddddddddddddddddddddddddddddddddddddddd 52??@$$$R1>?޿оn???̍au?,@?0̌? :?,@?fffff???? :?,@?0?D)H)L)P)T)X)\)A\'lq"abc$52??@$$$}I ?IqAtK???z)Rzw?d}w?0̌?v;}?d}w?fffff????v;}?d}w?0?8888888@BAAa+dbc52??@$$$\y?_14???$܅.? o P?0̌? w!? o P?fffff????Bf? o P?0?$I5(J5,K50L54M58N5?ab+fc+g52??@$$$)\,⇏?iij??? ^'?&f#b>|?0̌?0ɵ?&f#b>|?fffff????|Wa?&f#b>|?0?@P5DQ5HR5LS5PT5TU5XV5????@?a+db+fc52??@$$$;L ?!q3h???z)Rzw?d}w?Gz?v;}?d}w?o ףp=????v;}?d}w?Gz?+++++++,A?A?lB?a+dbc+g52??@$$$|?Gz?0ɵ?&f#b>|?o ףp=????|Wa?&f#b>|?Gz?`)d)h)l)p)t)x)@C?D?D?a+db+fc+g42???$$$??% ?pK|?(\µ?LQ7?Iޔ?<ףp= ????r5?\W5`X5dY5hZ5l[5p\5t]5N?0T?Y?acos(b)asin(b)c+g (a+d)cos(b) (a+d)sin(b)c+g42???$$$??NsJ?B1??X?l c?Wg'{Q?e33333????r5?|)))))))`^?|d?i?acos(b)asin(b)c (a)cos(b+f) (a)sin(b+f)c42???$$$??d s ?.m?(\µ?u+y1?%I3?<ףp= ????r5? 88888 8$8t?{?? acos(b+f) asin(b+f)c+g(a+d)cos(b+f)(a+d)sin(b+f)c+g42???$$$??贊E= ?$B:j]?(\µ?=KaB?tQ?<ףp= ????r5?x^5|_5`5a5b5c5d5,?,K! (a+d)cos(b) (a+d)sin(b)c+g(a+d)cos(b+f)(a+d)sin(b+f)c+g42???$$$??NsJ?B1??(\µ?l c?Wg'{Q?<ףp= ????r5?(8,8084888<8@8P!V!\!acos(b)asin(b)c+g (a)cos(b+f) (a)sin(b+f)c+g42???$$$??% ?pK|?X?LQ7?Iޔ?e33333????r5?++, ,,,,`!f!l!acos(b)asin(b)c (a+d)cos(b) (a+d)sin(b)c42???$$$??d s ?.m?X?u+y1?%I3?e33333????r5?e5f5g5h5i5j5k5p!w!}! acos(b+f) asin(b+f)c(a+d)cos(b+f)(a+d)sin(b+f)c42???$$$??贊E= ?$B:j]?X?=KaB?tQ?e33333????r5?, ,$,(,, ,0 ,4 ,4!? (a+d)cos(b) (a+d)sin(b)c(a+d)cos(b+f)(a+d)sin(b+f)c42???$$$??@)"?b?F?@0@J%?h` ? r????r5?)))))))8acos(b)asin(b)c (a)cos(b) (a)sin(b)c+g42???$$$??{?͗naU?F?^W!j?Ar(%@ r????r5?l5m5n5o5p5q5r5x!? (a+d)cos(b) (a+d)sin(b)c (a+d)cos(b) (a+d)sin(b)c+g42???$$$??]U?L2*^?F?_8宱?m$@ r????r5?)))))))?ܐ!(a+d)cos(b+f)(a+d)sin(b+f)c(a+d)cos(b+f)(a+d)sin(b+f)c+g/2??Xy@$$$Xy@@+"(pZ((\(?͎(?@???D8H8L8P8T8X8\8hf_&i!?acos(t)asin(t)u42???$$$??Sc7܃zE?F?/M]?mKl@ r????r5?$?(?,?0?4?8?<??! (a)cos(b+f) (a)sin(b+f)c (a)cos(b+f) (a)sin(b+f)c+g42???$$$??S.#3X?~0Adz@?K11 G?e33333????r5?'''XP!$?00cacos(b)asin(b)c42???$$$??%q45 @X?7hI?N$, X?e33333????r5?@!A!B!C!D!E!F!h?0!00c acos(b+f) asin(b+f)c42???$$$??%q45 @(\µ?7hI?N$, X?<ףp= ????r5?Hx!?00c+g acos(b+f) asin(b+f)c+g42???$$$??S.#3(\µ?~0Adz@?K11 G?<ףp= ????r5?@?D?H ?L!?P"?T#?X$??!00c+gacos(b)asin(b)c+gxyz(\(?_"Ð?0?`(\?HXT@?Q??@@h!@@?@??@@@@@@@@@@@@@@@@@@@   Element of Volume: Cylindical Coords|Cb#؂WoZ ?ڈ7@'"x@Times New Roman&?r = A ; dr = Dme: Cylindical CoordsLy 3X?@N9(>='1'A5Times New Roman&?Theta = B ; d(Theta) = Fl Coords3X`y y W;',┻\~'=4F4Times New Roman'?z = C ; dz = GFSYA!sely 3X\calc3\N90؄S(Hߍwh]tTimes New Roman<(?Animate on the following: Coords`y 3X,y WN9c~n)VuAŒJ܀Times New Roman(?dV = rdr d(theta) dzing:A!sIy 3X(W`|Wٲz7tkȂE?ís@KPZ@Times New Roman(r,t,z) = (a,b,c)IfM~{@g?xBa@1Courier New d*?(r,t,z) = (a+d,b,c)r?,\М?1Courier New 8?segment ((a)cos(b+f),(a)sin(b+f),c)--((a)cos(b+f),(a)sin(b+f0fM~^kϬ?Lv2J?1Courier New 8?segment (0,0,c)-->(acos(b),asin(b),c)(acos(b+f),asin(b+f),c)(acos(b+f),asin(b+f),c+g)(acos(b),asin(b),c+g)+g)