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Unformatted text preview: Exam 2, Day 1 Name: / MUS—001 pt.) Fall, 2009 1. (10 p135.) Find the antiderivative. Show all work except for Elementary Antiderivatives. / (7033‘ :1: dz}:  wszx mac/{X j(/“§i42x>@£;qu LL: gmx
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x (10 pts.) Find the antiderivative. Show all work except. for Elementary Antiderivativcs. /' 33+1
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,1. I! 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 nurnerators
You DO need to complete long division wl'rere appropriate. (a) 1
(b)
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(c) _l =
(X '2 (a; + 3X33: + 1)2 W
W leave them as letters. "1. (10 pts.) The figure at right shows the graph of f“) for
the function = V1+ (2—3932
Find in, so that. Simpson’s Rule with in, intervals will ap—
proxin'iate
2
f V 1 + {2—332 di:
—2 to within 1.0—4. DO NOT COMPUTE the integral. mumj
/E§/5 hﬂ"): A90 0 ‘ 30(7)5' ‘i I ‘1 2’0 P IN
I} M0 36./ 5 x7. P7333 5. (10 pte.) Determine if each of the following is convergent. or divergent. Circle your answer.
l'ieasons are not required, but I will give no partial credit for a wrong answer with no reason. CONVERGEN T DIVERGEN'l‘ 'm:'2l':' 2 ..
(b) j CONVERGENT DIVERGENT
2 Wing, _'_q'jx
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l CONVERGENT DIVERS ENT ‘5 6. (10 pts.) Apply a. t.rig0t10111etric substitution to
—r d9:
x/l — :er Simplify the new integral to a power of a. Single trig function and then STOP. DO NOT COMPUTE the new integral. ’X : 9% M I
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If CxJSH’ 4H}. 214 69% J14 \ j m . (15 pts.) Compute the improper integral. Show all work except for Elen'iemary Antideriva— Lives.
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This note was uploaded on 10/11/2011 for the course MATH 175 taught by Professor Staff during the Fall '08 term at Boise State.
 Fall '08
 STAFF
 Calculus

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