Evaluate the integral II (curl F) 0 n dA

Chapter 10, Problem 10.1.176

(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.

\(\mathbf{F}=\left[\begin{array}{lll}z^{2}, & \frac{3}{2} x, & 0\end{array}\right]\),

S the square \(0 \leqq x \leqq a, 0 \leqq y \leqq a, z=1\)

Text Transcription:

iint_S ( curl F) cdot n dA

F

F = [z^2,  3 / 2 x,  0]

0 leqq x leqq a, 0 leqq y leqq a, z = 1

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