MATH
quiz_03

# quiz_03 - d ﬂ I Use(First Name RAN-f k T.C(Last Name MA O...

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Unformatted text preview: d; ﬂ I! Use (First Name) RAN-f ./!. k, T.C. (Last Name) MA' O wﬁﬁﬁﬁﬁ©®®®®®9®9®5 .0 FOL/058/Ol 0 16s MATH 2451 quiz_03 Multivariable Calculus 25 min 2016-01-27 (Wed) McCary /. mmwmeeee see \$56, :[email protected]@@©@ﬂ®€@® Q ® @ my my ® Am. ® @ ® ® @ me @ ® Q 3 ® @ @ am a. eeeéeeeeee®@a ee o o - - a a c a n - . w ® ® 3 ® ® ® ® ® © ® @ © _ _ ‘. A .x .J WWW” ..mm\. @X \Jxm ‘ , ®© nwwﬂmvﬁvmw mm @va ., @m MW. @ A @ ® ® ® ® ® ® ® me ® ® ® Q ® We @ ® ® ® @r ® ® ® ® @. 3 geeseseesaw Qee eeeee A messesseaweeeeeeep. ea @eeee®aseemessages H M rﬂaeeeeeeméseems® O Exam Course Duration Due Date Instructor rt . Net ID 2016-0 1—27 0 1 : 24 .. FOL/058/02 . 1. (10 points) Plot and label the level sets (or explain why they don’t exist) for levels c :4 —1,07 2, 41 8. '9' C26? Wﬁéw '74s wHéN 90:0 71:0- e-ﬁ27'} 214x - ' CL??? J, Grader Only J, 0 @®@@@@@®@®e 0 O. FOL/058/OL . ‘10 points) Find the equation of the plane containing the following points. Provide your answer in the form a m + by + cz = d. b?‘ “Elli—m,— ir/l/Rl/ﬁlg'ix' _ '76? tag/“2’, J. Grader Only 4, .. FOL/058/04 . 3. (10 points) (a) Sketch the following region in R2: 7' E (1, 3], 9 E [VF/2,111. l4Vé3 £66ér @Sketch the following region in R3: p E [1, 2], [9 E [774, 1'r/2], 96 E [0, 7r/2] % I ,4 5 2 - _ ﬂ “II :{LF .4 Q 7 (c) Describe the following region, using the same notation in the ﬁrst to parts of this exercise. A cylindrical shell 7 units long with inside diameter 2 and outside diameter 4. CWOA/LWDVZICAL (16.5.12: . 2W5 51v wrﬁvé 4 weak Iwémeéﬁj’ ] é r m 2 05337 AM 5 MAM??— U54 +g l. Grader Only ‘0 GOD eooeeeooeeuo O ...
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