Let F(x, y, z) = z tan¬1(y²)i + z³ In(x² + 9)j + zk. Find the flux of F across S, the part of the paraboloid x2 + y2 + z = 19 that lies above the plane z = 3 and is oriented upward. F. dS =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 49E
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Let F(x, y, z) = z tan-(y-)i + z³ In(x² + 9)j + zk. Find the flux of F across S, the part of the paraboloid x + y² + z = 19 that lies above the plane z = 3 and is oriented upward.
F• dS :
Transcribed Image Text:Let F(x, y, z) = z tan-(y-)i + z³ In(x² + 9)j + zk. Find the flux of F across S, the part of the paraboloid x + y² + z = 19 that lies above the plane z = 3 and is oriented upward. F• dS :
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