43-48. Surface integrals of vector fields Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or a parametric description of the surface. 43. F = (0, 0, –1) across the slanted face of the tetrahedron z = 4 - x - y in the first octant; normal vectors point upward. dw duaiod bne 44. F = (x, y, z) across the slanted face of the tetrahedron z = 10 – 2x - 5y in the first octant; normal vectors point %3D A ES upward.

Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
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43-48. Surface integrals of vector fields Find the flux of the following
vector fields across the given surface with the specified orientation. You
may use either an explicit or a parametric description of the surface.
43. F = (0, 0, –1) across the slanted face of the tetrahedron
z = 4 - x - y in the first octant; normal vectors point upward.
dw duaiod bne
44. F = (x, y, z) across the slanted face of the tetrahedron
z = 10 – 2x - 5y in the first octant; normal vectors point
%3D
A ES
upward.
Transcribed Image Text:43-48. Surface integrals of vector fields Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or a parametric description of the surface. 43. F = (0, 0, –1) across the slanted face of the tetrahedron z = 4 - x - y in the first octant; normal vectors point upward. dw duaiod bne 44. F = (x, y, z) across the slanted face of the tetrahedron z = 10 – 2x - 5y in the first octant; normal vectors point %3D A ES upward.
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