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QUIZ 10 - Quiz 10 Sections 15.5-16.1(15 points Math 200...

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Unformatted text preview: Quiz# 10 Sections 15.5-16.1 (15 points) Math 200 Name: 523, 04/19/10 Show all necessary work for credit. Group: 3 pts. 1. Find the Jacobian of the tranformation x=5asinfl, y=4dcosfl. 31. A: . EH”) _ 39‘ b‘fi gun/G Sdcasfi ‘1 I Moms) ~ 3111 — 2 Jud Sin/8*JOKCos/B 30L _ ‘1‘ Cu; ”145:3 3/8 )3 )9 2 "QMOME + (05:13) 3-“ ~200£ Spts. 2. Use the tranformation u= x— 32%, v: x+y to evaluate ”x —y (M, whereRis the square with vx+y vertices (0, 2), (l, 1), (2, 2), and (1, 3). S '1 § “L = x—y )u : x+7 1 .L .l. A. 'L . _ .. .. - 6’05”)“ *1; Jik:i._[,§i) bought}- X-y» 0) X17 -‘1- ) K‘y—H'l} 31-7—1. __ l Pei ' .. vi _ 4 x+7 53$)duu "lawns. -Qiu‘io) Qiufiq- -+ a ’ , use '1; .. _L LIL :— Z -— :_ - Aagé v dust; 4):ng ”is 4.5 —-c1u [Jan-r 11.4] ilfiyfifl: M1; W37- UT???” PM ‘ '. a.“ wed-or; me me use: 1en3+L F739): (0,» HEW $574!,» $0 2): #542 x) Ffzw): did-ID FM: 2) 1-.) [7 All £€d0r1t0\h+ m Hne Some. (flirt-{hm ‘4" 0‘ fixed value a 7. Tie «ed»; old Mr d?€h4 Oh . 3 pts 4. Find the gradient vector field of f (x, y,z )=\/x: + y 5.+z8 w = wigs—4m t ...
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