Calculate the ruler integral where F(x, y, z) = (z+e²²) I+2xJ + (e³² cos(z) − y) k - and path C is a triangle with vertices (3,1,0), (0,3,1 ) and (1,0,3), directed counterclockwise when viewed from above. Y Hint. Apply Stokes' theorem. Answer: f. F I F.dr,

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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Calculate the ruler integral
where
F(x, y, z) = (z+e²²) I + 2xJ + (e³² cos(z) − y) k
and path C is a triangle with vertices (3,1,0), (0,3,1 ) and (1,0,3), directed counterclockwise when viewed from above.
Y
Hint. Apply Stokes' theorem.
Answer:
f.r.
x
F.dr,
Transcribed Image Text:Calculate the ruler integral where F(x, y, z) = (z+e²²) I + 2xJ + (e³² cos(z) − y) k and path C is a triangle with vertices (3,1,0), (0,3,1 ) and (1,0,3), directed counterclockwise when viewed from above. Y Hint. Apply Stokes' theorem. Answer: f.r. x F.dr,
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