sample-midterm3

# sample-midterm3 - MAT 2lB-A, Spring 2007, Prof. Opmeer...

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Unformatted text preview: MAT 2lB-A, Spring 2007, Prof. Opmeer Wednesday May 30, 2007. MIDTERM EXAM 3 NAME (print in CAPITAL LETTERS, last name ﬁrst): _______ ID#: ____________________________ -. Instructions: 0 Read each question carefully and answer in the space provided. If the space provided is not enough, please continue on the opposite (blank) side and CLEARLY INDICATE this. 0 YOU MUST GIVE CLEAR AND REASONABLY COMPLETE ANSWERS TO RE- CEIVE FULL CREDIT. Answers like ’yes’ or ’no’ or ’2’ will be awarded no credit. Proper notation and (mathematical) readability of your answers play a role in deter- mining credit. . Calculators, books, notes or similar things are not allowed. 0 The numbers between brackets refer to the number of points (out of 100) for that exercise. 1.00] Compute the following indeﬁnite integrals. Indicate the substitution that you make (if you make one) and state the trigonometric identity that you use (if you use one). (3)“0] u:ZX1+\ ch: Nani); :SLAM u ‘- ﬁnhx‘lbc .- L‘Yxl+\\ a»; | F _A_ 1' 4‘2. (b)[10] fatlﬁzdm x xn. xan) t \ &K xtx+23 l = deaz) * Bx \ = 2A a»- : \II— .t ",1 dx ’ ‘ 7 ML Kz-Z: \: —:L?> =9 99-"; s \l S/’) 1 IWI1\$,\$>1 x:<;ec9 dx— gecemﬁgde l .5 Secemech 1 [1 (38¢ 9—\) I . \$8 C 9 ﬁne ‘2- gegaime brie \$66.9 ale W13 .J__ A as? de (.039 san’e u=x-\ an: Ax 1 Qon= (f)[10] f88in4\$0082\$d\$ 7’ + o 21 x “3 3K ) ) 0" X : 896* u Ax + S 94"“ COSZX %\ J A“ \v COSZX 2' \l Wwa + 7. \ \ 1 g \S NA 01* mg Wand we Ame“) U Aw : S\(\ Z COSZ)‘ Ax fum: uN- gm“ (g)[10] f 3:2 cos 2: d2: X1\$QAX -' 8 2x S§A>< dx = xlsknx ‘ 2-&x(—C0Sx)-§»La§xd% durdx : xls‘\nx __ 2[.XCOSX + SVAX‘B +C_ (h)[10] H25 —- midx Carma)“ : 3g - (SSMQYL :SW-SLOSBdQ Sing:_)\$_ : 932,- = S SLOSG *' Swsa 49 (i)[10] farctanzdz u: m x. 4v = dx ~\ ‘ x‘bmx— .de 1 x14\ (2-):X4”) ‘dvd: Zxdx (M101 faﬁzﬁdm 7 3X-t2 : a 4» is : gidx-«r " Ax (XHY. x“ DUAL XH QUV) 3x+z = ROAD *3 %3 ‘ﬁ %: |X ! I H v’ ...
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## This homework help was uploaded on 04/07/2008 for the course MATH 21B taught by Professor Vershynin during the Winter '08 term at UC Davis.

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sample-midterm3 - MAT 2lB-A, Spring 2007, Prof. Opmeer...

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