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Consider the vector fieldF(x,y,z)=y,x,ln(1+x^2+z^2) ComputecurlF Use Stokes' theorem to compute the surface integral ScurlFdS, whereSis the part of the sphere centered at the origin of
Consider the vector fieldF(x,y,z)=y,x,ln(1+x^2+z^2)
- ComputecurlF
- Use Stokes' theorem to compute the surface integral ScurlFdS, whereSis the part of the sphere centered at the origin of radiussqrt(5)that lies above the planez=2 oriented by the outward-pointing normal.
- Compute divF.Based on this calculation, does there exist a vector fieldGsuch thatF=curlG?Why or why not?
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Prealgebra
Authors: Elayn Martin Gay
7th edition
321955048, 978-0321955043
