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13 Nov 2019
4. Let C be the curve given by r (t) (cost, sint,t) for 0 t 2n Let F (z, y, z) = w,2,2). Evaluate
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Keith Leannon
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14 Jun 2019
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Related questions
Number 23 please
In Exercises 23-26, evaluate the path integrals /f(x, y, z)ds, where 23. f(x, y, z)=x+y+z and c(t)=(sint, cos t, t),0 t 2n
NOTE: Although the line integral f(x, y) ds is un changed if C is given a new parameterization, the integral F Tds, or equivalent, | F - dr, changes in sign if the orientation of C is reversed CT 2. Let F = ã-y,z). Evaluate F . dr, where (a) , s the semicircle parameterized by r(t) = ãcost, sint), 0 t Ï (b) C s the semicircle parameterized by r(t) = (-cost, sint), 0 t
4. (3pts) Evaluate F dr forthe following vector field and closed oriented curve C. F = (2rertr', 2yere+92); r(t) = (3 sint, cost), for 0 C is the ellipse with clockwise orientation given by t 2n
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