x2-day1b - / (8) Exam 2, Day 1 Name: 1\-1175~001 1 pt)...

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Unformatted text preview: / (8) Exam 2, Day 1 Name: 1\-1175~001 1 pt) Fan,2009 1. (10 pts.) Find the antiderivative. Show all work except for Elementary A11tidcrivatives. f—sinazdm . 2 _ fS/fl )c (“S/4): I] H b """'---. 1 K m \.__./ Six I? 2. (10 pt-s.) Find the antiderivatdvc. Show all work except for Elementary A1‘1tiderivatives. :z:—2 b—d, [2152+w—13‘ ’Xn Z H + L (ZHWM) F 22w 9”! 7p Z : fl-(K‘HB + 8(2KFJB (“£343 -— 3: mm + 8(4) :> 13: J “g: 'x "31:- fl-(E3+ BUB :5 fl:_] IQ 3. (15 pts.) For each of the expressions below give the appropriate partial fractions decomposi— tion. You do NOT need to solve for the coefficients in the numerators leave them as letters. You DO need to complete long division where appropriate. 1 #4 (a) = + X+3 3 (X+3>2 + X {Aw} 7&1! M3 -(131 x) /><, £1. (10 pts.) rThe figure are right shows the graph of f" for the function = —13.5\/ 1 + (3—3352 Find 71. so that the rl‘I'apezoid Rule with n intervals will approxin‘late -2 / —l3.5' 1+ 8—31‘2dj; 2 to within 10—3. DO NOT COMPUTE the integral. M(5'a)3 Mex/e 53/? 30 /¥)3/03 7. /2 5. (10 pts.) Determine if each of the following is convergent or divergent. Circle your answer. Reasons are not required, but I will give no partial credit for a wrong answer with I10 reason. .f . DIVE-R. 1ENT , :53 — 31:2 C {J (mt/ i—i—Eidx CONVERGENT 1 a e g I; on. a an ‘ x ‘ )\ me $502 (a / T 3am lMVERGENT . 5 e" — :11.“ {5. (10 pm.) Apply a. trigonometric. substitution to . ’2 j .5 dm 932—1 Simplify the new integral to a power of a single trig functiol'l and then STOP. DO NOT COMPUTE the new integral. ’X: ,dflCM 01x.— wcu 7150MOLJVL 7. (15 p135.) Compute the improper integral. Show all work except for Elementary Anticleriva— tives. 0C. / 1328—3: 051:; 2 a: x‘ Aazxglx car: 8 -x 0’5"? 5 ’ X6- +{er-x01x. W K Le = 2% d“- ef "‘ of“: My: V:He¢ Mur- Kaela ” "ZXQHH' S23 “Dix = ’Zfie-x' 29-) b 5 fl —x ~x _x Sx‘e A: ~ng ... 2m —28] Z 2 = *i. _ 2i) fl 2 4 if 2 b :- —-—- + _._ t- ..___v + e 61" ea“ 6* ea gflwflh 0-0 LF-B O‘D\ W90 4-0 O ...
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x2-day1b - / (8) Exam 2, Day 1 Name: 1\-1175~001 1 pt)...

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