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derivative Q3: For the surface f(x, y, z)= In (xyz), find: (1) the gradient of f at (1,1,2), (2) the directional at (1,1,2) in the direction of i=i+2j-2k; (3) the max. and min directional derivative and their (4) the parametric equation of the tangent plane and the normal line to the surface at (1,1,2). directions;

derivative Q3: For the surface f(x, y, z)= In (xyz), find: (1) the gradient of f at (1,1,2), (2) the directional at (1,1,2) in the direction of i=i+2j-2k; (3) the max. and min directional derivative and their (4) the parametric equation of the tangent plane and the normal line to the surface at (1,1,2). directions;

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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derivative Q3: For the surface f(x, y, z)= In (xyz), find: (1) the gradient of f at (1,1,2), (2) the directional at (1,1,2) in the direction of i=i+2j-2k; (3) the max. and min directional derivative and their (4) the parametric equation of the tangent plane and the normal line to the surface at (1,1,2). directions;
Transcribed Image Text:derivative Q3: For the surface f(x, y, z)= In (xyz), find: (1) the gradient of f at (1,1,2), (2) the directional at (1,1,2) in the direction of i=i+2j-2k; (3) the max. and min directional derivative and their (4) the parametric equation of the tangent plane and the normal line to the surface at (1,1,2). directions;
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