5. (a) (4) Find the area of the surface S, which is the part of x² + y² + ² = 4 that lies inside the cylinder x² + y² = 3. Find the mass of the surface S where S is given by rly 1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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5. (a)
Find the area of the surface S, which is the part of x² +
y² + z² = 4 that lies inside the cylinder x² + y²
(b)
Find the mass of the surface S, where S is given by r(u, v) =
(2uv, u²-v², u²+v²), (u, v) E D with D = {(u, v) E R² u²+v² <1},
if the density is x².
Transcribed Image Text:5. (a) Find the area of the surface S, which is the part of x² + y² + z² = 4 that lies inside the cylinder x² + y² (b) Find the mass of the surface S, where S is given by r(u, v) = (2uv, u²-v², u²+v²), (u, v) E D with D = {(u, v) E R² u²+v² <1}, if the density is x².
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