1022 quiz 3 B Term 2007 answers

1022 quiz 3 B Term 2007 answers - Name: MA 1022 - 2007 B...

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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—iXX-P )\ 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: (Try-LAX 1" (“(K-l'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) herald-2 6+x-l Rs: (q){ll+(wl(ll+6|l(n+([2)(I)+(l3)(|) “yr-II :— 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‘tl-S: €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.

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1022 quiz 3 B Term 2007 answers - Name: MA 1022 - 2007 B...

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