Find the gradient field F of the function f. f(x, y, z) = x4e9x +y6₂⁹ OF = (4 + 9x)x3e9xi + 6y5z9; +9y6z8k
Find the gradient field F of the function f. f(x, y, z) = x4e9x +y6₂⁹ OF = (4 + 9x)x3e9xi + 6y5z9; +9y6z8k
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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Transcribed Image Text:Question 24
Find the gradient field F of the function f.
f(x, y, z) = x4e9x + y6₂⁹
F = (4 + 9x)x3e9xi + 6y5z9j+9y6z8k
OF = (4 + 9x)x³e9xi + 6y5j + 9z8k
OF = (4 + 9x)x³e9xi + (x4e9x + 6y5z9)j + (x4e9x +9y6₂8)k
OF = (1 + x)x³e9xi +y5z9j+y6z8k
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