Consider the vector-valued function =-3x²y³x-3y²x³y and the three-dimensional region bounded by the planes z = = 0, x = 0, y = 0, z = 1, x + y = 1. Verify the divergence theorem for this function and region.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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Consider the vector-valued function v=-3x²y³x - 3y²x³y and the three-dimensional region bounded by
the planes z = 0, x = 0, y = 0, z = 1, x + y = 1. Verify the divergence theorem for this function and region.
Transcribed Image Text:Consider the vector-valued function v=-3x²y³x - 3y²x³y and the three-dimensional region bounded by the planes z = 0, x = 0, y = 0, z = 1, x + y = 1. Verify the divergence theorem for this function and region.
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