green's theorem with circle site:math.stackexchange.com - Axtarish в Google
12 июн. 2015 г. · I have the following problem where I'm trying to figure out how to convert a circle whose equation is (x−1)2+(y+3)2=25 traversed counterclockwise.
30 апр. 2023 г. · Compute ∫γ−y3dx+x3dy, where γ is the positively oriented edge of the unit circle.
28 авг. 2020 г. · Green's theorem asserts that the line integral over C is equal to the area of the region between the two circles, which is just the area of the larger circle ...
17 июн. 2022 г. · Line integral on shifted circle directly and using Green's theorem ... I am trying to compute the line integral ∫Cω, where ω=−y√x2+y2dx+x√x2+y2dy ...
3 дек. 2019 г. · Are you familiar with polar coordinates? The integral can be done in rectangular coordinates, but would require more integrating.
7 авг. 2016 г. · The angle, θ, is taken positively counterclockwise from the x-axis, and the circle is centred at (a,0) not (0,0), so θ cannot exceed the limits ...
28 февр. 2024 г. · Green's Theorem may not be used in 2 because the integrand is not defined in a point of the region bounded by the curve (namely, the origin).
11 дек. 2017 г. · Use Greens theorem to calculate the area enclosed by the circle x2+y2=16.
12 дек. 2022 г. · In Green's Theorem, the integrand must be continuous on the entire region, which is why in your example, we have to remove some region around the singularity.
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