Let E be the tetrahedron in space with vertices (0,0, 0), (1,0, 0), (0, 1,0), and (0,0, 1). Let F(x, y, z) = (x – cos T)i+ (y – y sin r)j+2zk. Compute the surface integral / E - COS | F.n dS, where n is the normal to E that is directed outward.

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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Let E be the tetrahedron in space with vertices (0, 0,0), (1,0,0), (0, 1,0),
and (0,0, 1). Let F(r, y, z) = (r – cos r)i + (y – y sin r)j + 2zk. Compute the
surface integral ||
F.ndS, where n is the normal to E that is directed outward.
Transcribed Image Text:Let E be the tetrahedron in space with vertices (0, 0,0), (1,0,0), (0, 1,0), and (0,0, 1). Let F(r, y, z) = (r – cos r)i + (y – y sin r)j + 2zk. Compute the surface integral || F.ndS, where n is the normal to E that is directed outward.
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