HW_17 - Assignment Previewer Page 1 of 4 HW 17(1312213...

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Current Score: 0/48 Due: Sat Jul 17 2010 11:59 PM CDT Question Points 1 2 3 4 5 6 7 8 9 10 11 12 0/40/40/40/40/40/40/40/40/40/40/40/4 Total 0/48 1. 0/4 pointsSCalc6 17.8.003. [1283491] 2. 0/4 pointsSCalc6 17.8.005. [866821] 3. 0/4 pointsSCalc6 17.8.006. [1282640] 4. 0/4 pointsSCalc6 17.8.007.MI. [1386442] HW 17 (1312213) Description 17.8. Stokes's theorem; 17.9, The divergence theorem. Use Stokes' Theorem to evaluate ∫∫ S curl F · d S . F ( x , y , z ) = x 2 z 2 i + y 2 z 2 j + xyz k S is the part of the paraboloid z = x 2 + y 2 that lies inside the cylinder x 2 + y 2 = 9 , oriented upward. Solution or Explanation Click to View Solution Use Stokes' Theorem to evaluate ∫∫ S curl F · d S . F ( x , y , z ) = xyz i + xy j + x 2 yz k S consists of the top and four sides (but not the bottom) of the cube with vertices ( ±3 , ±3 , ±3 ), oriented outward. 0 Solution or Explanation Click to View Solution Use Stokes' Theorem to evaluate ∫∫ S curl F · d S . F ( x , y , z ) = e xy cos( z ) i + x 2 z j + xy k S is the hemisphere , oriented in the direction of the positive x -axis. Solution or Explanation Click to View Solution Use Stokes' Theorem to evaluate C F · d r . C is oriented counterclockwise as viewed from above.
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