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tegrate f(z, y, z) = 12xz over the region in the first octant (, y, z > 0) above the parabolic cylinder z = y? and below the paraboloid z = 8 – 2z2 – y?.

tegrate f(z, y, z) = 12xz over the region in the first octant (, y, z > 0) above the parabolic cylinder z = y? and below the paraboloid z = 8 – 2z2 – y?.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 35E
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Integrate f(x,y,z)=12xz given the conditions...the correct answer is 292.571 but I need to know the process of getting there and the exact answer in simplified form

n 2 m3 Integrate f(x, y, z) = 12xz over the region in the first octant (x, y, z > 0) above the parabolic cylinder z = m 4 y and below the paraboloid z = 8 – 2z2 – y². m 5 em 6
Transcribed Image Text:n 2 m3 Integrate f(x, y, z) = 12xz over the region in the first octant (x, y, z > 0) above the parabolic cylinder z = m 4 y and below the paraboloid z = 8 – 2z2 – y². m 5 em 6
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