Use cylindrical coordinates to calculate the volume between the surfaces in the first octant if z = 9 - 4x2 - 4y2 and z = 5x2 + 5y2. Calcula a) la divergencia, b) la función potencial de:F(x,y,z) = (x²y³ – z*)i + 4x³y²zj – y*z® k.%3D

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Use cylindrical coordinates to calculate the volume between the surfaces in the first octant if z = 9 - 4x2 - 4y2 and z = 5x2 + 5y2.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 21E

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Question

Use cylindrical coordinates to calculate the volume between the surfaces in the first octant if z = 9 - 4x2 - 4y2 and z = 5x2 + 5y2.

Calcula a) la divergencia, b) la función potencial de:
F(x,y,z) = (x²y³ – z*)i + 4x³y²zj – y*z® k.
%3D

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