Question: Calculate (iint_{mathcal{S}}left(x y+e^{z}ight) d S), where (mathcal{S}) is the triangle in Figure 18 with vertices ((0,0,3),(1,0,2)), and ((0,4,1)). (1, 0, 2) X 1 3 .(0,

Calculate $\iint_{\mathcal{S}}\left(x y+e^{z}ight) d S$, where $\mathcal{S}$ is the triangle in Figure 18 with vertices $(0,0,3),(1,0,2)$, and $(0,4,1)$.

(1, 0, 2) X 1 3 .(0, 0,3) 4 (0, 4, 1)

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