Using Green's theorem, evaluate f
Chapter 10, Problem 10.1.72(choose chapter or problem)
Using Green's theorem, evaluate \(int_{C} \mathbf{F}(\mathbf{r}) \cdot d \mathbf{r}\) counterclockwise around the boundary curve C of the region R, where
\(\mathbf{F}=\left[x^{2} y^{2},-x / y^{2}\right], R: 1 \leqq x^{2}+y^{2} \leqq 4, x \geqq 0, y \geq x\). Sketch R.
Text Transcription:
int_C F(r) cdot dr
F = [x^2 y^2, -x/y^2], R: 1 leqq x^2 + y^2 leqq 4, x geqq 0, y geq x
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