Let a be a real number and f(x, y) = 3ax?y + 5xy3. Let v = 3i – j and let Vf(x, y) denote the gradient of f(x, y). - i) Find Vf(1, 1) in terms of a. ii) If the rate of change of f(x, y) at the point (1, 1) in the direction of v is -6/5 find a. V2
Let a be a real number and f(x, y) = 3ax?y + 5xy3. Let v = 3i – j and let Vf(x, y) denote the gradient of f(x, y). - i) Find Vf(1, 1) in terms of a. ii) If the rate of change of f(x, y) at the point (1, 1) in the direction of v is -6/5 find a. V2
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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