916 Find the flux of the vector field F across . F(x, y, z) = xi + y j + 2zk; is the

Chapter 15, Problem 11

(choose chapter or problem)

Find the flux of the vector field $F$ across $\sigma$.

$F(x, y, z)=z i+y j+2 x k ; \sigma$ is the portion of the surface $z=1-x^{2}-y^{2}$ above the xy-plane, oriented by upward normals.

Equation Transcription:

$F$

$F(x,\ y,\ z)\ =\ zi\ +\ yj\ +\ 2xk;$ σ

$z\ =\ 1-{x}^{2}-{y}^{2}$

Text Transcription:

sigma

F(x, y, z) = zi + yj + 2xk;sigma

z = 1-x^2-y^2

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