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Test 1 Spring 2009 Answers - SI Name Math 122 Test 1 EF...

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Unformatted text preview: SI: Name Math 122 Test 1 EF: February 3, 2009 Style Points _ Directions: 1. No books, notes or thinking impure thoughts. You may use a calcu— lator to do routine arithmetic computations. You may not use your calculator to store notes or formulas. You may not share a calculator with anyone. . You should show your work, and explain how you arrived at your an— swers. A correct answer with no work shown (except on problems which are completely trivial) will receive no credit. If you are not sure whether you have written enough, please ask. You may not make more than one attempt at a problem. If you make several attempts, you must indicate which one you want counted, or you will be penalized. You may leave as soon as you are ﬁnished, but once you leave the exam, you may not make any changes to your exam. ll cl —‘ do 1. (15 points) "L 3 (a) “3 do: = j *3 E W ,0 ﬁx Ol—XZ dﬁ‘ in — l E Ol—U =—a><clvk _ 2 * d0 RX 9K (U— Cl—U L '2 i -1. J, 2 2 \ '1 ‘2. ~ ~_\_ __ u» igqU —U dU— avibkﬁl 2% 3i 2 2% ~itxsm~>€3~ ale“ l\+C¢ a (b) Charles is trying to come up with his own table of integrals. He thinks the following formula is correct, but Alex thinks there is a mistake. b / u du=y————Zlnlau+bl+0 au+b a a Who is right and why? \0 DQ U b A _ ,L _ __ _ _ C7\U ~ @g (mo-Ho) mm +‘0 CH RQLE S K... 2. (20 points) (a) /\$3€m2 d3: : A ‘ 1?? K: x2 dK=aXdK OR: é}: RX 2 L SKE 6K = 3b“? ‘53 CW) a K U: \< (AV-:9 d\0:<§K \/=€K z 2 x K _ .L Xzex — £3 a L‘ x) (b) /81115\$d:c = j‘SH\\37§ 9—— :‘B (\ ~Sw<f\$ U: (1st dx: GU d\\)= _9\N7<C)7< NstX < an; U 2 — U " ___; —\— .__ : —§C\— 301 ANA) d“ 3 ‘5 72 ‘5 —_ -— (coax ~ acgsx COSXBJV C// 3. (20 points) tall” by U: Tzwx (a)/cos4m d5” = j'T—Rqux SEC XdX do: Sﬂqx dx do (ix: SECZK 1“ 1 db 7:: : U SEC X = ’7- \ S €2é€< (‘5 + 3 30 2% 2% 1.1 _ 0 Jr U = E K) +0 do ~ Ea a—é TAN 0% Tax : -\— Th“ -\- C7 7:0 1% / (b) /m::f:2d\$ : x1 (mum \ 2 A + B + C— Ax(x-B+B(x-ﬂ+ CXL , —T M A x2 (1-13 x 34 791 "2% I: Ax(»«~\) + 36443 + sz x20 \ = “B Bz—‘\ x:\ ‘ C C 2‘ x=1 \=ag ——\+L+ ~a=a1\'I\=—l j“ -‘ + L dx= -_Qm\><\+‘_+.&m\x..\\_¥c// a? J?- *~\ x 4. (20 points) (a) /mdx X: S'TRNQ dx= 6526‘s de ~ 295 8 \$2656le __ 2 .— j \IDE’WANZG +33 BGEQ 6 d9 — _. 35<J>€§ECQWNQ -\- _&/Y‘\\SEC6+'TRM6\\ " 1 .. a‘n’( {ms >< *MHETA. L“ +C// __ ___ / __ 5,. S a 5 5 2:5 —————— —— x (b)/1E2+1O:17+29dx ‘ j 9‘ dX Xz—\-\D)L-\- as:Y I-\ / Q14: "‘\ 0 +14 OZ+L’\ x) *— imam - 10(15 mac-mmg (M6) : JO/Aumsﬁﬂ ~ 5 “WM a +C// 5. (20 points) 1 1 'L (a) 0/(2\$_1)3 d3: 2 JV \ dx + 3‘ #:— 8 Q abﬂa (Sex—U .‘L Q) 1 ® \ dhk : ~‘ JD: A (300433 1" (ax—‘32 G : D'N-t b :1: m 7: ()/x/1+\/_d SH; RR dx=agﬁ(\>-DCN U: \-\-\£—I 3.5 L2 Oh): ‘C’X ‘Q‘SU~O do 9J1 5i 33:; dx~ “AR—AD Tax LU “lmy '5 3— r :U—‘\ ‘55 1:. :1 EL (H623 "ﬁg—(PCB?3 + C7 ...
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