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assign2sol - i ji/elfie'mf MAT 1322A Assignment 2(Due Wed...

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Unformatted text preview: i. ji/elfie'mf [ MAT 1322A Assignment 2 (Due Wed. Jan. 28th at 8:30) Student Number: 1. Find the volume of the solid obtained when the region bounded by the curves 3; = fl and y = a: is rotated around the line Answer: Volume = [email protected]_ ‘ l 37 G E E Work: fl» (raff—JZUZIM‘ are: 0.142.494er 0 lVWlff PM“)! (in = l+x wit; ”AID l‘euf ___ ‘ffi +£x mo. I1? /4== ”(qu— ml): ’7 ((7+J3)1- [H7093 :- Tr (2J3; _. )t—DLJ) 530% madam {r U: [34/de 1 = ”[615 ~2z- 211)a/x = rr (3,32- gal—125 IQ) 2‘ 1T. :1 2. Find the volume of the solid whoae base is the region bounded by y z e", y = 1, I = 2 and 5': = 3 where cross— sections perpendicular to the :c—axis are semi ircles. Answer: Volume = -’.‘_’ (”l 5 8. cl \ 5 Work: ('raxf—J‘c'cfionu‘ 4/5 .Q'mmlrc/a‘ ‘3 . of ranging r: :51 (Cx-l) s~ w w Aeeeu (a e 3 A %u;/L£M (J sz’4{TIC/K 3. Find the length of the curve =ex —e ’2 between 1: = D an: :r: = 1. Answer: Arclength = Q _ ._I.. 1+ -e ‘4 Work: L: fdmgdu '1”! If" (m) : f{€+;e )dx 6' :[ “(w—7,79% 2 gnu—w; / ‘" i — l ’ a e _ .I- _ 2 : an I .1? — qe [1 [9 +7 +77 ,7 7/7 4. A tank in the form of a hemispherical bowl of radius 4 m is full of water. Find the work required to pump all of the water to a. oint 2 In bove the tank. p Answer: Work: M‘ "l! 5018' X109 3 +51ch or lam; 7 S‘llcb al— lNaixf L wlll‘fi +£th Ala 96} a. oLlS‘IA mi Mafia A” «Jan A (7-70" 2 71 5f” r1 '-"- ?la» la: (And \fét vcluvw. a? tale. 4774. ;g U: AAL- “wink; '1T (EL-halrfila 7%.: Marc)“ rims/Cf }r M: pl/z /0<3€.‘/7T((Fl7- 11),“. M Ma 9‘0 19: Int/24’ a elm/977cc: cf 64 mefrca S“ 1% .JIrA lr "WW w: Myd= 90%;; (34-42)/67U4L W 777,4 7‘: w: [Veer-:71?! was and - WM “we“ 177+ M’ML 20180077 (51W LL” 71p}; )7; GWCH$33)=HC73%3%1TT ...
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