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integral F. dÃ. Compute each flux (a) F(x,y, z) = (2, 3, –5) and S is a disk of radius 1 in the plane r+y + z = 1, oriented upward. (b) F(x, y, z) = (x, y, 3z) and S is the cone z = x > 0, y 2 0, oriented upward. (c) F(x, y, z) = (x, y, z) and S is the cylinder a? + y² = 1 with r > 0, y 2 0, 0

integral F. dÃ. Compute each flux (a) F(x,y, z) = (2, 3, –5) and S is a disk of radius 1 in the plane r+y + z = 1, oriented upward. (b) F(x, y, z) = (x, y, 3z) and S is the cone z = x > 0, y 2 0, oriented upward. (c) F(x, y, z) = (x, y, z) and S is the cylinder a? + y² = 1 with r > 0, y 2 0, 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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integral F. dÃ. Compute each flux (a) F(x,y, z) = (2, 3, –5) and S is a disk of radius 1 in the plane r+y + z = 1, oriented upward. (b) F(x, y, z) = (x, y, 3z) and S is the cone z = x > 0, y 2 0, oriented upward. (c) F(x, y, z) = (x, y, z) and S is the cylinder a? + y² = 1 with r > 0, y 2 0, 0<z< 1, oriented away from the z-axis. x² + y² with x² + y² < 1,
Transcribed Image Text:integral F. dÃ. Compute each flux (a) F(x,y, z) = (2, 3, –5) and S is a disk of radius 1 in the plane r+y + z = 1, oriented upward. (b) F(x, y, z) = (x, y, 3z) and S is the cone z = x > 0, y 2 0, oriented upward. (c) F(x, y, z) = (x, y, z) and S is the cylinder a? + y² = 1 with r > 0, y 2 0, 0<z< 1, oriented away from the z-axis. x² + y² with x² + y² < 1,
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