quiz 12 out of 15

quiz 12 out of 15 - Show all work clearly and in order, and...

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Unformatted text preview: Show all work clearly and in order, and circle your final answers. Justify your answers algebraically whenever possible; sketch all relevant graphs and write down all relevant mathematics. You have 18 minutes to take this 15 point quiz. 1. (3 points) Evaluate f f(w4 + 3zy)dmdy over the region bounded by O S a: S 3 and 0 _<_ y S 1 3 . 3 3 d’X. [l1 ‘ C Ll : l h 5 + 3 7' 9: gm fuming” £0“ X +3/L’)L /51 AA l0 u 3 1. ‘ : y 5, 3 1 =’ ~24 1? r} ? ’X"+3/z')\ /5 3 + "If 2. (6 points) Evaluate f f(4:cy — yay)dA over the region bounded by y = fl and y = :52. l S R odxid‘j Mm: A131) 8: My? — V)»: 3“ 7K (x1. = lamb/am )“vx «manta/WM ! ’ “a” “ Wm? « mg + yum-‘1 2;??"1/413 4w?» * a g M'X d1 3. (6 points) Evaluate the volume of the region (it’s in the first octant) behind the plane a: +y+z = 2, and inf front of the region in the yz—plane that is bounded by the curves 2 = y and z = 2-15—12 V; 4w Agata - \ T ’— 0\ - — — ‘ ‘1 S‘h‘l €12de §H§d%23 2 ‘ 2% "JET/2‘5 —Z«j+1j tquj —_ 3/21jm_5/21j_1jsh+2@ Ed‘j 3/1131“$/uj‘1j3hr1\nj 7 77.133 —5/q "f - 1/5133” +L1/?th— L’ : b: s/LI 3/6 +58 ' "/e— ‘L/s ’ 5px v1 ...
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This note was uploaded on 04/04/2012 for the course CALC 251 taught by Professor Asbuch during the Spring '08 term at Rutgers.

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quiz 12 out of 15 - Show all work clearly and in order, and...

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