Math2B S05 Quizzes for Semester

# Math2B S05 Quizzes for Semester - ”‘ Math 213 Section...

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Unformatted text preview: ”‘ Math 213 Section 111 Name: y , ____ Winter Quarter 2005 I Student ID: _ .—-—h—— Quiz 1 _ 18 2005 ' Score: ‘75—— Tuesday, Jan. b1 3] and that F is an ~ 0 (6 points) Suppose that f' is a continuous function on [— —2 F( ) .1 1, ﬁnd 17(3). )(tb antiderwative of f. If the éjgraphi of f is given below and Show your work! [2 i -; F (11% F (a) 1:(—«ao= I 118%? m 3 2/9”! ”(15/ \- F (’67 = «food/x "‘71 F8)" __ ~31 ‘1 311500011 = W33 Math 213 Section 111 Name: 5 O LU 3 \ OF} S Winter Quarter 2005 Student ID: Quiz 1 Tuesday, J an. 18 2005 ; ‘ Score: 1. (6 points) Suppose that f is h continuous function on [—2, 3] and that F is an antiderivative of f. If tﬂle graph of f is given below and F(—2) = 1, ﬁnd F(3-.) Show your work! . H" 3F :1) 1 1 7&— me‘ 9m» gawk W) we. Rem: *1: Raﬁ-'1 . Math 213 Section 111 1 3 Name: :23”, .L' :31 Winter Quarter 2005 ' ‘ Student ID: _ I" Quiz 2 Tuesday, J . 25 2005 , Score: ‘9‘ X7/ 1. (5 points) Evaluate the indeﬁnite integral i __ 1 - d . ‘________—___ﬂ______———i, ”'7‘ .5 I J}. Math 2B Section lll Name: _ ~. , ‘ _,. A A ____ Winter Quarter 2005 Student ID: _ __.. Quiz 3 é ) Tuesday, Feb. 15 2005 ' ‘ SCOI‘BJ ____m___ 1-; o X z: , I , 1 0L £110 awg a ' -' i .. 4i“ - ~JPx ’ \$2 01. x3+l a: (b) (5 points) Evaluate the indeﬁnite integral / , ‘ l M}: 1X32+[ \I S 221 0” JUL "‘ {WWW X + Wad/UL," XLM ﬁg .45}, =s. 1/35.:1 Me¥yg ﬁniui *0 MW Vg ﬂaw-”PO Math 2B Section 111 W'inter Quarter 2005 Quiz 4 Tuesday Feb. ‘22 2005 )(O\ . (10 points) Find the limit: , ‘\ «f if»??- / " 00\$ 6; ‘_ M... ,_ 1-475} (9 2 A“. 3/1”)? X +0 62 ”x Name: _ Student ID: _h_ Math 2B Section 111 Winter Quarter 2005 Quiz 4 Tuesday, Feb. 22 2005 1. (10 points) Find the limit: go HR QM 1r COSX ‘1 X->o vi; “>0 290 Na 3050 AX W \$0 Q/L'VV‘ COSX : 2‘ H (3)0 Name: SOLUT\ OMS Student ID: Score: , 1 —— cos x 11m ————‘— z—)U 3:2 axqqmln wz Lara. 9— '50" wt Mﬁ‘m\wf O 1 W OWL mmkf’ixm Math 213 Section 111 Winter Quarter 2005 Quiz 5 Tuesday, March 1 2005 ,)/ g 1. (10 points) Evaluate M = fanx W3: .——_ Name: :1 Jump, ‘ Student ID: Score: ES /~taJn3 a: sec 22 d3. Y‘K ' y I L. )1. j 71 W4 ’3' ”WW [ﬁx a .. \ \$4 1‘ >\ f Séix 472W 4* 3":ch Lamx ﬁx: Name: _ Math 213 Section 111 Student ID: __ ' Winter Quarter 2005 Quiz 6 .\3 Tuesday: March 8 2005 Score: Determine Whether the integral )( 1. [ll] points) V j 6—3 dm 4 is convergent or diverge nt. In the case that it is convergent, evaluate it. t Name: M Math 213 Section 111 Student ID: Winter Quarter 2005 Quiz 6 Tuesday, March 8 2005 Score: 1. [10 points) Determine Whether the integral 00 f e"? da: 4 is convergent or divergent. In the case that it is convergent, evaluate it_ t Mr- 'VZ’X 09 Eeﬁd QM get; Lu“ 0““ "V20” X ='- x: ,. JC-m ~—er7( ‘* 4 ‘t J‘, {M M‘s Wm Se 10M L'E‘ﬂ—ir). q -31 —._>S- SE 1C)” =’3\Cl+C t x t t ‘1 1— ﬁ" _: Cl ~75! M e at K >= 7 a L; 4 e u"- Math 2B Name (please print): _ A _ 3.1.“ _ Winter 2005 Student ID: _ __ MIDTERM ‘ m ,nl. Friday, February 4 2005 Signature: Please Show your work! A/\% 1. (14 points) Suppose that g is the inverse of a differentiable function f and let mam-W. , __ Iff(2) = 1 and m2) :3, ﬁnd h’(1). 6} 3 J El (X) t z I (if-*3 Q «C (900) j _ (x) ,l m: 66] ' {37%) w -::)- ‘0)" ‘._...L.. =>' ’[D‘ J— ‘1 W ’3 3(059 “my...” u... .1. ._ “WNW“ “w . m.“ %’(t7= 15 (if) 2. Let R be the region bounded by y: 33+ 1, a: = 1 and y =1. If H N “—1 (a) (6 points) Sketch the region R. Va (b) (12 points) )Find the area of the region R ‘ S (x ”-17 y<> ax - guinea O (c) (16 points) Find the volume of the solid obtained by rotating the region R «Hé my : MW 5!” M :2 . X 1 W W. 14:26am 36m \ Tf «Guile? Kata/cw = (1)2 TI— 3. Evaluate fa — \$2) das. (a) (18 points) By deﬁnitiOn (i.e., as a limit of Riemann sums). C [You will need to use. 2:21:12? = ”_(_lL._”+162“.+__12 ] ! \$~ ' . n T‘ﬁ ‘- _n 0 (in \ n[mt7(2n+ m @LWMHQ T )(lh+|3} ~§an+l36§lml :-:(H+|ZEH+D J 2%” mm (b)( (10 points) By using your knowledge of antiderivatives and the Fundamental ‘ Theorem of Calculus. \Q) S (3-7(‘3011 Swarm: F'(b)-—F(a3 aha-XE 7’ -.: {HQ-C333].— CJCOMO 3 0 3 ,./ 3 ,/ :0 “:2. @ —- 5317 2 Q _q= 3 a WWW (may. ‘ 3T 1 a E Up 4. Suppose that f is a continuous function on [—5, 1] whose graph is given below. 'M/w’ (2 a} (y 5/13., (a) (14 points) If F is an antiderivative of f and F(1) z 2, ﬁnd F(—5). Show ”QT“ “' your work!‘ a 3mm : F65? - PM > (/ ’5 1 - a ' W ﬂéf .==' 3 ”l 1"- QCF 1 ” Ll W‘ m m fl E i L\ (b) (10 points) Find the average value of f on the interval [— 5 1] bird S¥(X/Ciy ME :55"... Simon ’rb .-'—;\ N La. (32>va _ * Lu 1 to "YER £1. :1"- @005 “@7‘W4“ H M'H 7.13 9.45me 55—OR (HE “\DTERH '5‘ _ 5 “‘9‘ Was: ’ mm gmmdx “4, 3’ 0Q an Mmbm1L.E.IM Q Ma?- 0+ Rim/mm WW)- \/§5£5 19) B3 W3! \towx manual? of‘cwdfdwwﬂvea M-Hu FTC. Co W 7 cos“? mot g «3% ‘é‘I § 2* d-E mm mm. ° 3 2X \/ . \Pwamr. 903 a ANRMM flu/Wham WEB/1] and \$416? 'F(-3)=’\ mammquf. jF‘HAPWO‘IXDAO‘F'E'CQ 1pm I 1 mad ﬁzysg Wot Frai. (w FTCIL) \gﬁ _ ‘ ' W {' \é’l“. / “Wm Sﬁgmkﬁxanwk gbv (9.)[2 ; 3 l _ l -%cos(14rx3")+c \/§_ ‘¥mdm ma calm MW” Malawi 3% m M X=33ﬂém 3 OJA& % UM %+X:3_ [4) 1 33t1)=-1\/@ 30wa £8»;me ofLa W62ﬂ. Mm ‘6 am M hung. 316 {[952 cud {3“3\=7% I Mot Ell). . *3. ‘ . jzﬁ- Fw‘d ‘d"+ €X1‘32x—r‘3. ...
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