3. Let f(x, y, z) = 9 (√√x² − 4y² + 2²) √√x² + 16y² + 2², where g is some nonnegative function of one variable such that g(1) = 3. Let S be the surface defined by R(u, v) = (√1 +4v² cos u, v, √1+4v² sinu), where (u, v) [0, 27] × [0, 1]. Find the mass of a curved lamina in the shape of Sif the density at each point (x, y, z) ES is given by f(x, y, z).

3. Let f(x, y, z) = 9 (√√x² − 4y² + 2²) √√x² + 16y² + 2², where g is some nonnegative function of one variable such that g(1) = 3. Let S be the surface defined by R(u, v) = (√1 +4v² cos u, v, √1+4v² sinu), where (u, v) [0, 27] × [0, 1]. Find the mass of a curved lamina in the shape of Sif the density at each point (x, y, z) ES is given by f(x, y, z).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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