Evaluate the integral II (curl F) 0 n dA
Chapter 10, Problem 10.1.175(choose chapter or problem)
Evaluate the integral \(\iint_{S}\) ( curl \(\mathbf{F}) \cdot \mathbf{n} d A\) directly for the given \(\mathbf{F}\) and S.
\(\mathbf{F}=\left[z^{2}, x^{2}, y^{2}\right], S: z^{2}=x^{2}+y^{2}, y \geqq 0,0 \leqq z \leqq 2\)
Text Transcription:
iint_S ( curl F) cdot n dA
F
F = [z^2, x^2, y^2], S: z^2 = x^2 + y^2, y geqq 0, 0 leqq z leqq 2
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