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test5_3 - b 3 Evaluate the line integral 1 fF-dr c where...

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Unformatted text preview: ( b 3. Evaluate the line integral 1 \ fF-dr c where F(:c, y, z) = 3in + (23:2 — y)j + zk. Do this when (a) C is the straight line from (0,0,0) to (1,1,1), and (b) when G is the Iine from (0,0,0) to (1,0,0) to (1,1,0) to (1,1,1). Comparing your results from parts (a) and (b), what can you conclude about F? fi;37[fl ”H _____ fl. 7, (M I!" ”(W12 L , X31 cup—1(a) )3 ,5 wagew 1 +100 u ‘ «Funb 4: 3 w 'y : W * “‘0 F has W“ ‘17 ”:44 .Mqu w “a" 4 , 41:14 Also, F 7‘ (7 a Me ‘ is: Z i V: (w WW ‘1 : gi-(C l ( 3445+;- 5L [9) [9‘ De (010:0) _ ‘ 2‘, 1‘9 fl ?\ @hCI - Y‘thio 0L1;a\2.—O [WM 1.) 0 - (XX—(51:10 ‘H ‘M on Cz‘r 1(4):") E JD [ , . X11 \I:\ MK: M" M 0% L3 2'. J S'3x&x+(' Amtgz $2 — 3 kg: _0 0 Y Y 0 ...
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