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Surface integrals of vector fields Find the flux of the
Chapter 11, Problem 43E(choose chapter or problem)
Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or parametric description of the surface.
\(\mathbf{F}=\langle 0,0,-1\rangle\) across the slanted face of the tetrahedron\(z=4-x-y\) in the first octant; normal vectors point in the positive z-direction.
Questions & Answers
QUESTION:
Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or parametric description of the surface.
\(\mathbf{F}=\langle 0,0,-1\rangle\) across the slanted face of the tetrahedron\(z=4-x-y\) in the first octant; normal vectors point in the positive z-direction.
ANSWER:Solution 43E
Step 1:
Given that
F = 〈0, 0. −1〉 across the slanted face of the tetrahedron z =4 − x −y in the first octant; normal vectors point in the positive z-direction.