3. Let f (x, y, z) = 9 (√√x² − 4y² + z² V x² +16y² + 2², where 9 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 sin u u), where (u, v) € [0, 2π] × [0, 1]. Find the mass of a curved lamina in the shape of S if the density at each point (x, y, z) ES is given by f(x, y, z). 3

3. Let f (x, y, z) = 9 (√√x² − 4y² + z² V x² +16y² + 2², where 9 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 sin u u), where (u, v) € [0, 2π] × [0, 1]. Find the mass of a curved lamina in the shape of S if the density at each point (x, y, z) ES is given by f(x, y, z). 3

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

See similar textbooks