Unformatted text preview: I âˆ‚S (2 zâ†’ Ä± + xâ†’ +â†’ k ) Â· dâ†’ s . (5) Use Stokesâ€™ Theorem to evaluate ZZ T curl ( xzâ†’ ) Â· dâ†’ S where T is the cylinder x 2 + y 2 = 9 with 0 â‰¤ z â‰¤ 2, orientated with an outward pointing normal. (6) (Bonus question: worth 10 points. Total points for assignment not to exceed 100.) Compute the curl ofâ†’ F ( x,y,z ) = e x âˆš 1 + x 2 1 + sin 4 xâ†’ Ä± + (1 + y 2 cos y ) 27 1 + (arctan 2 y )â†’ + z 7 + z 6 + 2 ln(1 + z 2 ) z 8 + 2â†’ k . 1...
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 Winter '11
 JerryMetzger
 Calculus, Multivariable Calculus, Vector Calculus, Vector field, Stokes' theorem, upward pointing

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