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quiz11_fa10

quiz11_fa10 - boLo‘HON Name N Quiz 11 SI Show all work to...

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Unformatted text preview: boLo‘HON Name: N . Quiz 11 SI: April 27, 2009 Show all work to receive full credit. 1. Use a parameterization of the sawed—off sphere x2 + y2 + 22 = I 2 cut by the cone Ll 1‘! z = V337 + y2 to ﬁnd the area of the surface. 4—\ 5A=5Slﬁxrvlrﬁudv ' *\ r(d>,e\=,\'isxo¢wset -\ .l'ismcbsanej +XicQs¢ \2 ﬁmadmse (amalgam “EWMb -l1an¢s;no ﬂ 5:wa o : (1 Sm‘cb C059)? +(1ssnldﬁl‘ne33‘ + C Q bind; Cobb) \2 ‘qu X (Ql thlqﬁnw) C0519 + ‘15:'n°‘d> Si‘nke ’r ‘1 5;n‘¢c<>§zd> :0] “l 564% + ‘1 sm‘d) «39¢ =«l “Sin‘M-scn‘cb +cos‘¢>\ gm “’0‘ «l\ 3 Aﬁné gm“ 2 z 3 Amt Mole = 252014)“) :(ng: -1§o"(m)o\e= -l(§4)9l:n 0 0 o : '30:; -t\(9.n\ = CH«- Apr-{31" +\ 2. Use a parameterization of the area of the ellipse cut from the plane 2 = ca: (c a Mg constant) by the cylinder :32 + y2 = 1 to ﬁnd the integral representing the surface area. DO NOT EVALUATE. t A fl ((F,e‘)= (C0661: 5, (5“‘9‘? l’ C‘C°\$e K O 4\ f} xfe: ’5 3 a : 3 (‘cr 530 -cho5‘e\ '3(‘C"'}¢MC‘5‘-‘6C°5¢l C069 5099 C00 A ' 9° + u r7 -0959 ((059 ‘CfSlne A =- ~Cr€ *0) fr K 4" lﬂxrglﬁlc‘r'w‘ Am ' 5 8 VIEW.“ 0‘0ch 0 a 4‘\ ﬂ 1‘ ...
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