?For the following exercises, evaluate \(\iint_{S} \mathbf{F} \cdot \mathbf{N} d s\) for

Chapter 6, Problem 284

(choose chapter or problem)

For the following exercises, evaluate \(\iint_{S} \mathbf{F} \cdot \mathbf{N} d s\) for vector field F, where N is an outward normal vector to surface S.

F(x, y, z) = xi + 2yj = 3zk, and S is that part of plane 15x − 12y + 3z = 6 that lies above unit square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1.

Text Transcription:

\iint_{S} \mathbf{F} \cdot \mathbf{N} d s

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