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3. Let F(x, y, z) = (yz ln x, 2x - 3yz, xy²z³), where x > 0. Find the diver- gence of F at (1,0, -1) and determine whether (1, 0,-1) is a source or a sink. (a) div = 5, a source. (b) div -3, a source. (c) div -3, a sink. (d) div 3, a source. (e) div 3, a sink. = =

3. Let F(x, y, z) = (yz ln x, 2x - 3yz, xy²z³), where x > 0. Find the diver- gence of F at (1,0, -1) and determine whether (1, 0,-1) is a source or a sink. (a) div = 5, a source. (b) div -3, a source. (c) div -3, a sink. (d) div 3, a source. (e) div 3, a sink. = =

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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3. Let F(x, y, z) = (yz ln x, 2x - 3yz, xy²2³), where x > 0. Find the diver- gence of F at (1,0, -1) and determine whether (1, 0, -1) is a source or a sink. (a) div = 5, a source. (b) div -3, a source. (c) div -3, a sink. (d) div = 3, a source. (e) div 3, a sink. == = =
Transcribed Image Text:3. Let F(x, y, z) = (yz ln x, 2x - 3yz, xy²2³), where x > 0. Find the diver- gence of F at (1,0, -1) and determine whether (1, 0, -1) is a source or a sink. (a) div = 5, a source. (b) div -3, a source. (c) div -3, a sink. (d) div = 3, a source. (e) div 3, a sink. == = =
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