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3. Let f(x, y, z) = xy*Vz+y lnz a. Compute Vf(x,y,z). b. Compute the directional derivative of f at (3, 1, 1) in the direction of the vector u = -5ỉ+ 37 + 6k. %3D c. Compute all second order partials of f(x,y,z).

3. Let f(x, y, z) = xy*Vz+y lnz a. Compute Vf(x,y,z). b. Compute the directional derivative of f at (3, 1, 1) in the direction of the vector u = -5ỉ+ 37 + 6k. %3D c. Compute all second order partials of f(x,y,z).

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) = xy*Vz+y lnz a. Compute Vf(x,y,z). %3D b. Compute the directional derivative of f at (3, 1, 1) in the direction of the vector u =-57+ 37 + 6k. %3D c. Compute all second order partials of f(x,y,z).
Transcribed Image Text:3. Let f(x, y,z) = xy*Vz+y lnz a. Compute Vf(x,y,z). %3D b. Compute the directional derivative of f at (3, 1, 1) in the direction of the vector u =-57+ 37 + 6k. %3D c. Compute all second order partials of f(x,y,z).
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