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Unformatted text preview: A Last Name: Math ZB Final Exam
Sample First Name: Last Name: Student ID #: : \ Section: I certiﬁz that this exam was taken by the person named and done without any form of assistance
including books, notes, calculators and other people. Y our signature (For instructor use only!) Problem Score r Problem L Score 1
1 ’— 1’ 8
2 ” 9 ’l ”"
3 ”‘ 10 ‘l
4 ﬂ 1 1
5 12 F"
6 L 13
'3 TOTAL J ID #: o This exam consists of 13 questions. # 1—7 are worth 10 pts each and # 813 are worth 5 pts each.
0 Read the directions for each problem carefully and answer all parts. 0 Please Show all work needed to arrive at your solutions. 0 Clearly indicate your ﬁnal answer to each problem. 1.) 3.) Evaluate the following deﬁnite integral 3 [ (xZ—xmx
0 w b.) Evaluate the following limit €293 é (3.) Evaluate the following derivative d
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f t2 etsin(t) cos(t) dt x 2.) Find the average value of the function g(x) = szv 1 + x3 on the interval [0,2] . ' (where f ' denotes the derivative of function f) with 3.) Consider continuous functions f and f values given by the following table: 7 6 4 qual subintervals.
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curvesy= V4—x2 andyz 2—x gﬁﬁﬁggﬁﬁixﬁﬁgigeiézégééiz.._%.§:;§§ 7.) a.) Find a Cartesian equation for the curve given by the polar equation 1* = 35in 6 .
13.) Find a polar equation for the curve given by the Cartesian equation x + y :2 4 . tAa,Egg?x§é»§g,§s§é¥§§ {0 ¢ ID #: a: 3;
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if x2 W g” E ix
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This note was uploaded on 12/07/2010 for the course MATH MATH 2B taught by Professor Famiglietti,c during the Fall '09 term at UC Irvine.
 Fall '09
 FAMIGLIETTI,C
 Calculus

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