Verify the divergence theorem of a given vector field A = 2pza, + 3z sin o ag – 4p cos o az and S is the surface of the wedge 0 < p < 2, 0 < ¢ < 30°, 0 < z < 5.

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Verify the divergence theorem of a given vector field
A = 2pzap + 3z sin o a, – 4p cos o az
and S is the surface of the wedge 0 <p < 2, 0 < ¢ < 30°, 0 < z < 5.
Select your answer.
-131.57
89.86
131.57
-89.86
Transcribed Image Text:Verify the divergence theorem of a given vector field A = 2pzap + 3z sin o a, – 4p cos o az and S is the surface of the wedge 0 <p < 2, 0 < ¢ < 30°, 0 < z < 5. Select your answer. -131.57 89.86 131.57 -89.86
If the vector field
T-(аху — Bz)ах + (3x? + үz)ay + (3xz? + у)а,
is rotational, determine a, ß, and y.
Select your answer.
а 3 1, В 3D -1, у %3D -1
3 6, В 3 1, у 3D1
a =
a = 1, B = 1, y = 1
= 6, B = -1, y = -1
Transcribed Image Text:If the vector field T-(аху — Bz)ах + (3x? + үz)ay + (3xz? + у)а, is rotational, determine a, ß, and y. Select your answer. а 3 1, В 3D -1, у %3D -1 3 6, В 3 1, у 3D1 a = a = 1, B = 1, y = 1 = 6, B = -1, y = -1
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