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Suppose T Is the Triangle with Vertices (1,0,0),(0,2,0)( 1,0,0 ) , ( 0,2,0 )

Question 48

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Suppose T is the triangle with vertices (1,0,0),(0,2,0)( 1,0,0 ) , ( 0,2,0 ) and (0,0,2)( 0,0,2 ) oriented upward.Calculate the flux of F=e8x+4y+4zi5j { \vec { F } } = e ^ { 8 x + 4 y + 4 z \vec { i } } - 5 \vec { j } through T exactly, and then give an answer rounded to 3 decimal places.

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