quiz_03-key - Exam Course Duration Due Date Instructor 16s...

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Unformatted text preview: Exam Course Duration Due Date Instructor 16s MATH 2451 quiz_03 Multivariable Calculus 25 min 2016-01-27 (Wed) McCary T.C. Use wag (First Name) (Last Name) 2016-01-27 01:24 1. (10 points) Plot. and label the level sets (or explain why they don’t. exist.) for levels r: = —1, U, 2, 4, 8. =$2+292 20 0“; NOTE M 60 ME» 6H :-{ I3 EMPT/ LEW» 921 =0 (M19195 0F J- 9me»; 901M 3. As FOR THE meer) £03 ’ ° 9693339“ = 0 a. (1‘2, =1 ELLIFSES CEW’EQED )7 ‘6’. (E, 1 9v (5 II p 06 9’ a,_ (“a +3 ‘7 «54.44... a: 1 (gfi-(fifiq am=2.za..- 2. (10 points} Find the equation of the plane containing the following points. Provide your answer in the form as: + by + cz : d. ’5‘: bowl—I a an} ' ? '/\}i/’?7‘£ (A): m)ka Jr NORMM— comma Our 0P (or; :Nm) r012 P/H‘vE (22-?) x (w) E 3. (10 points) (a) Sketch the following region in R2: 1'" E (1, 3],l9 E [Tr/231']. (b) Sketch the following region in R3: p E [1,2],I9 E [Tr/«1,7F/2],¢ E [UHF/2]. (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. ...
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