[Solution] Compute ∫_S e^-z d S, where S is given by x^2+y^2=1,0 ≤q z ≤q 1 . (Hint: Parametrize the surface as \Phi(θ, z)=(cos θ,


Question: Compute \(\iint_{S} e^{-z} d S\), where \(S\) is given by \(x^{2}+y^{2}=1,0 \leq z \leq 1 .\) (Hint: Parametrize the surface as \(\Phi(\theta, z)=(\cos \theta, \sin \theta, z)\) for suitable parameter values)

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