(Steps Shown) Use Stokes' Theorem to evaluate \oint_C F • d \vecs where F(x, y, z)=e^y+z \vecimath, and C is the square with vertices at (1,0,1),(1,1,1),(0,1,1),
Question: Use Stokes' Theorem to evaluate \(\oint_{C} \vec{F} \cdot \mathrm{d} \vec{s}\) where \(\vec{F}(x, y, z)=e^{y+z} \vec{\imath}\), and \(C\) is the square with vertices at \((1,0,1),(1,1,1),(0,1,1)\), and \((0,0,1)\) orientated with an upward pointing normal.
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![[Solution] Let S be the part of](/images/solutions/MC-solution-library-71911.jpg "[Solution] Let S be the part of the plane z=f(x, y)=4 x-8 y+5")
[Solution] Let S be the part of the plane z=f(x, y)=4 x-8 y+5
![[Solved] Use Stokes' Theorem to evaluate ∫_T](/images/solutions/MC-solution-library-71912.jpg "[Solved] Use Stokes' Theorem to evaluate ∫_T curl;(x z \vecjmath)")
[Solved] Use Stokes' Theorem to evaluate ∫_T curl;(x z \vecjmath)
(Step-by-Step) Compute the curl of F(x, y, z)=(e^x √1+x^2)/(1+ sin
(Solution Library) Compute the divergence of the vector field F(x,
![[All Steps] Sketch the solid described by](/images/solutions/MC-solution-library-71915.jpg "[All Steps] Sketch the solid described by x^2+y^2 ≤q z ≤q")
[All Steps] Sketch the solid described by x^2+y^2 ≤q z ≤q
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