Let G be a solid whose surface σ is oriented outward by the unit normal n, and let F x , y , z denote a vector field whose component functions have continuous first partial derivatives on some open set containing G . The Divergence Theorem states that the surface integral ___________ and the triple integral ___________ have the same value.
Let G be a solid whose surface σ is oriented outward by the unit normal n, and let F x , y , z denote a vector field whose component functions have continuous first partial derivatives on some open set containing G . The Divergence Theorem states that the surface integral ___________ and the triple integral ___________ have the same value.
Let G be a solid whose surface
σ
is oriented outward by the unit normal n, and let
F
x
,
y
,
z
denote a vector field whose component functions have continuous first partial derivatives on some open set containing G. The Divergence Theorem states that the surface integral
___________
and the triple integral
___________
have the same value.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Elementary Statistics: Picturing the World (7th Edition)
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