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Unformatted text preview: Name: MA 1022  2007 B Term Section A02
November 13, 2007 Quiz — Sections 5.8, 5.9, 6.2 1. Find the area ofthe region bounded by y = 3  x2 and y = 2x.
(12 points) l
\
KEEN.) “500] A“ '= [(3—x‘le) Ax
.._3 ,3
s<=l 2. Set up but do not evaluate an expression for the area of the region(s) bounded by y = x3 and y = 7x  6. (10p0ints) Note that x3 — 7x + 6 =( —1)(x — 2)(x + 3) @vlﬂx—iXXP )\ 5 0 15—51,“ 2 3. Find the volume formed by rotating the region bounded by y = x + 2 ,
x =1, x = 2, and y = 0 around the x — axis. (12p0ints) 2. Volume: (TryLAX 1" (“(Kl'lfhab‘ 6. I
xtz '2.
:ﬁ§(n’+‘tx+‘l)0\x s TT[’‘;+ ZXZ'WXK y.— ~I
l
'7: Tr[(?§+3+9)"(%+2+%)]= ﬂ
_ 3 _ 4. Set up but do not evaluate an expression for the volume formed by
rotating the region bounded by y = ex, x = 1, x = 3 , and y = 0
around the line y = —3. (10 points) r‘ ; 004? I’ WWI“;
n1 3+3” 16 .
. You are given that area “bounded” by y "—" —n— and the x — czsz , to the 3C
right ofthe line x I 2, is 2. What is n? Be sure to show your work! (10 points) 6. You are given a region bounded above by y = 6 + x , on the left by
_ x = 3, ontheright by x = 8, andbelowbythe line y =1. a. Calculate R5 for this region (3 points) herald2 6+xl
Rs: (q){ll+(wl(ll+6l(n+([2)(I)+(l3)()
“yrII :— Wldih b. Calculate L5 for this region (3 points) L; 7* (3')()+ (4)0) + 00%) +000) 4— 62%,) C. Calculate T; for this region (2 points) Ti: Rs‘tlS: €1.97
'2. (1. Compare your answers to the “true” answer by setting up and
evaluating an integral expression for the same area. (4p0ints) 8 “3 <6+X'l)dlx = [§X+§; ; 40+32_(1f+f£) ; xzz ******** END 01:: QUIZ ********* ...
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This note was uploaded on 10/13/2009 for the course MA 1022 taught by Professor Abraham during the Spring '09 term at WPI.
 Spring '09
 Abraham
 Calculus

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