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21hendlill
24.07.2019 •
Mathematics
Evaluate the surfacuse stokes's theorem to evaluate f · dr c. use a computer algebra system to verify your results. in this case, c is oriented counterclockwise as viewed from above. f(x, y, z) = 2yi + 3zj + xk c.triangle with vertices (5, 0, 0), (0, 5, 0), (0, 0, 5)e integral (x^2+y^2+z^2)ds
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Ответ:
which by Stoke's theorem is equivalent to the surface integral
where
Given
We parameterize the surface
with
Now,
so the surface integral reduces to
Ответ:
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