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

Essay

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