Finding Flux Across a SurfaceIn Exercise, use
Chapter 16, Problem 26E(choose chapter or problem)
Finding Flux or Surface Integrals of Vector Fields
In Exercises 19–28, use a parametrization to find the flux \(\iint_S \mathbf F \cdot \mathbf n\ d \sigma\) across the surface in the specified direction.
Cone \(\mathbf F=y^2\mathbf i+xz\mathbf j-\mathbf k\) outward (normal away from the axis) through the cone \(z=2 \sqrt{x^2+y^2}\), \(0 \leq z \leq 2\)
Equation Transcription:
Text Transcription:
int int_S F cdot n d sigma
F=y^2i+xzj-k
z=2 sqrt{x^2+y^2}
0 <= z <= 2
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