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Duf(a, b) Vf(a, b).u. 1 Problem 3: Let f(x, y) = 3. + (a) Compute the rate of change of f, at the input (3,-1), in the direction of the vector u = (b) If you take an infinitesimally small step on the surface f from the point (3,-1, 2) in the direction of u, will you move uphill, downhill, or stay at the same height? Justify your answer.

Duf(a, b) Vf(a, b).u. 1 Problem 3: Let f(x, y) = 3. + (a) Compute the rate of change of f, at the input (3,-1), in the direction of the vector u = (b) If you take an infinitesimally small step on the surface f from the point (3,-1, 2) in the direction of u, will you move uphill, downhill, or stay at the same height? Justify your answer.

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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Duf(a, b) Vf(a, b).u. Problem 3: Let f(x, y) = 3− +². 10 (a) Compute the rate of change of f, at the input (3,-1), in the direction of the vector u = (b) If you take an infinitesimally small step on the surface f from the point (3,-1,2) in the direction of u, will you move uphill, downhill, or stay at the same height? Justify your answer.
Transcribed Image Text:Duf(a, b) Vf(a, b).u. Problem 3: Let f(x, y) = 3− +². 10 (a) Compute the rate of change of f, at the input (3,-1), in the direction of the vector u = (b) If you take an infinitesimally small step on the surface f from the point (3,-1,2) in the direction of u, will you move uphill, downhill, or stay at the same height? Justify your answer.
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