(Solution Library) Let S be the part of the plane z=f(x, y)=4 x-8 y+5 above the region (x- 1)^2+(y-3)^2 ≤q 9 oriented with an upward pointing normal. Use Stokes'
Question: Let \(S\) be the part of the plane \(z=f(x, y)=4 x-8 y+5\) above the region \((x-\) \(1)^{2}+(y-3)^{2} \leq 9\) oriented with an upward pointing normal. Use Stokes' Theorem to evaluate \(\oint_{\partial S}(2 z \vec{\imath}+x \vec{\jmath}+\vec{k}) \cdot \mathrm{d} \vec{s}\)
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![[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
![[See Steps] Use the Divergence Theorem to](/images/solutions/MC-solution-library-71916.jpg "[See Steps] Use the Divergence Theorem to compute the surface")
[See Steps] Use the Divergence Theorem to compute the surface
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