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Integrate g(x,y,z) = 3x + 4y +z over the portion of the plane 4x + 8y + z = 16 that lies in the first octant.

Integrate g(x,y,z) = 3x + 4y +z over the portion of the plane 4x + 8y + z = 16 that lies in the first octant.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 32RE
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Question
Integrate g(x,y,z) = 3x + 4y +z over the portion of the plane 4x+8y +z = 16 that lies in the first octant.
Transcribed Image Text:Integrate g(x,y,z) = 3x + 4y +z over the portion of the plane 4x+8y +z = 16 that lies in the first octant.
Integrate the given function over the given surface. G(x,y,z) = y² over the sphere x² + y² + z² = 1
Transcribed Image Text:Integrate the given function over the given surface. G(x,y,z) = y² over the sphere x² + y² + z² = 1
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