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-3y те f(x, y) = ze Find f. (x, y). fay(x, y), and fyr (r, y). Y y ln 2x

-3y те f(x, y) = ze Find f. (x, y). fay(x, y), and fyr (r, y). Y y ln 2x

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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Work Problem 2 (4. question Question 11 You must provide a clear and detailed solution for each * We consider the function f(x, y) = xe 3y Find f(x,y), fay(x, y), and fauz (x, y). Question 2 23 Y y ln 2a s] Find the directional derivative of 32 f(x, y) = xln2y 2x³y² at the point (1, 1) in the direction of the vector <2, -2> In which direction do we have the maximum rate of change of the function f(x,y)? find this maximum rate of change.
Transcribed Image Text:Work Problem 2 (4. question Question 11 You must provide a clear and detailed solution for each * We consider the function f(x, y) = xe 3y Find f(x,y), fay(x, y), and fauz (x, y). Question 2 23 Y y ln 2a s] Find the directional derivative of 32 f(x, y) = xln2y 2x³y² at the point (1, 1) in the direction of the vector <2, -2> In which direction do we have the maximum rate of change of the function f(x,y)? find this maximum rate of change.
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