Use the divergence theorem to find the outward flux F = tan−¹(2y + 4z)i + ez² + 10 cos xj + √√x² + y² + z² k, where S is the surface of the region bounded by the graphs of z = √√x² + y² and x² + y² + z² = 4. SSF. F.ndS of the vector field

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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Use
the divergence theorem to
flux SSF
of the vector field
find the outward
e²² + 10 cos xj + √√x² + y² + z² k, where S is the surface of the region bounded by the
and x² + y² + z² = 4.
F = tan−¹(2y + 4z)i +
graphs of z =
√√√x² + y²
F.ndS
Transcribed Image Text:Use the divergence theorem to flux SSF of the vector field find the outward e²² + 10 cos xj + √√x² + y² + z² k, where S is the surface of the region bounded by the and x² + y² + z² = 4. F = tan−¹(2y + 4z)i + graphs of z = √√√x² + y² F.ndS
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