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Sol-166E2-S2010

# Sol-166E2-S2010 - MA 166 Exam 2 Spring 2010 Page 1/4 a a...

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Unformatted text preview: MA 166 Exam 2 Spring 2010 Page 1/4 a, a NAME GEﬂDJQWQ ML”. 1% 4 - Page 1 / 21 10—DIGIT PUID Page 2 / 30 RECKDUIONINSTRUCTOR, P“m3 /28 Page 4 / 21 RECITATION TIME TOTAL / 100 DIRECTIONS 1. Write your name, 10—digit PUID, recitation instructor’s name and recitation time in the space provided above. Also write your name at the top of pages 2, 3, and 4. The test has four (4) pages, including this one. . Write your answers in the boxes provided. You must show sufﬁcient work to justify all answers unless otherwise stated in the problem. Correct answers with inconsistent work may not be given credit. . Credit for each problem is given in parentheses in the left hand margin. . No books, notes, calculators, or any electronic devices may be used on this test. ;’1 221a? W1 (3‘5 W2; if»? \$1 (Crag if“! H ff A.. A7 , w , ,._ (9) 1. ftanzazsec4a: dm 2’ ‘1. “\$2 : / tan X 3m: x xiii» ; / {afﬁx ‘(L+tcin2)r)mch via a u ; tqnx ELLA 1:: set. as cal); 1: '2. x 2 —= 3 l3; ﬂ jawed/id” «LL-t ‘i’lWC {await ' ’3‘? a i ’ A r +» ’ r i y A 1 12 2. —— d2: Hint: Use trigonometric substitution . (9 + x2)2 v Y :1 an???) t: {2./ g 7 ﬁt 5 r: W W M52 MW»; M r. i , " (WW? 2. , w 'xgg‘B“ mite” @ﬁs‘f Z ii 1;": new if, ’1 X m :3 so: w ‘2 3 KIM é? :3 a?” [9* tr ,2”: W tom W W Qty 5’4 ‘2: we new?“ ,. £11 (12) (10) MA 166 Exam 2 Spring 2010 Name, Page 2/4 tan(l) t I a» Etna 3. / 200 dm. A J OWLLOLLL z: Wmf «l *3 Adm f" , am emu 1/ “mg; 3 ';b‘ 43/: wsux (magnum ﬁJVl/“U/ 14» C yjmchwu’ +~C t/incn\$(%)§ wivC' “’1 Yb 6‘ K9? 1m {EMA my; 61k W2 Waiting “(M g (1ng é 4. Write out the form of the partial fraction decomposition of the following functions. Do not determine the numerical values of the coefﬁcients. iii) {3” (Km. y a” ﬁr (a) m2+4w+3: immqm +3 KM; 74ers; a x “.4. x Mr W “5 ’ “'9 X a are”); "e ' i X X ~94 4+” x “kw :1 Km a f “:52: l“, Matxzmujy “324 ~+ 9}» fa) K _ . / ,_ ff‘ ‘ 3 ‘ a (b) 25“ + 1 4 u, will; a w gm gmﬁ (II: + 1)3(\$2 + 4)2 “f ‘7‘}'” «2 X2a9+iggﬂ we] 1 fl a ﬁg» X “:4? Jr W” a?” x4 “Kw/QMle +4" + MIX”, “PC l‘ﬁ‘f lawn)?“ 3J3 wvﬁwﬂv 1 : Ax(>< 4) +53 0‘") lax? "l ’1 1;; Amara?" *634'53 “My Ma «:70 d vA-tii 7:0 ﬁlﬁﬂh #3:; C2\ 944 GM} [Law leﬁém (mail/“mg m wvow‘ﬂé Run—L 1 Q t a e W ., Magi 449'? 90W MESH/>123 igniiiiét a” X) “i” will “l” E H; (18) (10) MA 166 Exam 2 Spring 2010 Name Page 3 / 4 6. Determine Whether each integral is convergent or divergent and ﬁnd its value if it is convergent. Important: You must use the deﬁnition of improper integrals in terms of limits. ,1 pi liar M3101 mnmw ﬁlm W Ki) 0 I g X / A (c) / da: :2 :m I <3 A (3;) -00 t . Q «‘5 ﬂ \ “flag 3 W3 w E? W A} an W22 w"), “it ‘1? Ci) it. WWW-mi? ﬁg} w i " Wit D\£ Xi £4 ‘i 7. Find the length of the curve y = ln(cos as), 0 g a: _<_ [Hintz /sec asdw : In I seccc + tanml + 0]. g 3:: n L z: j i an“) «415% g, 0 )3: Kg X M E 3 —~&3 1+Fﬂlfdx::yli+ﬂw%dx3#ﬂgaxdx ” Qﬁw ‘ a 0 TL (,7 Elma l: i ‘3 : 0“st am 0 , QFMQ eﬁl—Xni My, ontna o L = ,Qm {92; AWE? («a 9W) is MA 166 Exam 2 Spring 2010 Name Page 4/4 (13) 8. Consider the triangular lamina With vertices at (0,0), (3,0) and (3, 5), and With density p = 1. Find the following: C: (a) The mass m of the lamina. 3 ’3 5“ ,2; “if; W): W “xde a m: war 0 . 1 e355 x3 » vaﬂ W (8) 9. Determine Whether each sequence below converges or diverges and if it converges ﬁnd its limit. (You need not ShOW work for this problem). 3n+2 (a) an 2 5n 271—1 ! (b) en (C) an : 7’13 \ h v. an — n in“? 'WEEVW“ :: gﬁﬂw :MW 3n2+1 ‘H 7A9”! 33;; V ﬂ , w ...
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Sol-166E2-S2010 - MA 166 Exam 2 Spring 2010 Page 1/4 a a...

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