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Compute the Flux of the Vector Field H=yi+2zj\overrightarrow { \vec { H } } = \vec { y } i + 2 z \vec { j }

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Compute the flux of the vector field H=yi+2zj\overrightarrow { \vec { H } } = \vec { y } i + 2 z \vec { j } over the surface S, which is oriented upward and given, for 0 \le s \le 1, 0 \le t \le 2 by x=s+t2,y=s2,z=4tx = s + t ^ { 2 } , y = s ^ { 2 } , z = 4 t


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