HW14 - Math E-21a Fall 2009 HW #14 problems Do these...

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Math E-21a – Fall 2009 – HW #14 problems Do these problems, but don’t turn them in : Section 13.7 : In problem 10, use Stokes’ Theorem to evaluate C d Fr . The curve C is oriented counterclockwise as viewed from above, i.e. from the positive z -axis. 10. (, ,) 2 3 xyz x y z y  Fi j k , C is the curve of intersection of the plane 5 xz and the cylinder 22 9 xy  . In problem 14, verify that Stokes’ Theorem is true for the given vector field F and surface S . 14. ( , , ) x y x y z j k , S is the part of the plane 2 2 that lies in the first octant, oriented upward. Section 13.8 : In problems 2 and 4, verify that the Divergence Theorem is true for the vector field F on the region E . 2. 2 x x y z j k , E is the solid bounded by the paraboloid 4 zx y  and the xy -plane. 4. ( , , ) x y z j k , E is the unit ball 222 1  . In problems 6, 8, and 10, use the Divergence Theorem to calculate the surface integral S d  FS ; that is, calculate the flux of F across S .
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This note was uploaded on 03/13/2010 for the course MATH 0314 taught by Professor Ivoklemes during the Spring '10 term at McGill.

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HW14 - Math E-21a Fall 2009 HW #14 problems Do these...

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