Find the gradient field F of the function f. f(x, y, z) = x²⁹x + y6₂⁹ ○ F = (4 + 9x)x³e⁹ס + (x4e9x + 6y5z9)j + (x4e9x + 9y6z³)k F = (4 + 9x)x³e9xi + 6y5j + 9z³k F = (1 + x)x³e⁹x + y5z⁹j+y6z8k ○ F = (4 + 9x)x³e9ס + 6y5zºj + 9y6₂8k

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 31
Find the gradient field F of the function f.
f(x, y, z) = x¹₂⁹x +
+y6₂⁹
F = (4 + 9x)x³e9ס + (x4e9x + 6y5z9)j + (x4e9x + 9y6z8)k
OF = (4 + 9x)x³e⁹x¡ + 6y5j +9z³k
F = (1 + x)x³e⁹x¡ + y5z⁹j+y6z8k
O
F = (4 + 9x)x³e⁹x₁ + 6y5zºj +9y6z8k
Transcribed Image Text:Question 31 Find the gradient field F of the function f. f(x, y, z) = x¹₂⁹x + +y6₂⁹ F = (4 + 9x)x³e9ס + (x4e9x + 6y5z9)j + (x4e9x + 9y6z8)k OF = (4 + 9x)x³e⁹x¡ + 6y5j +9z³k F = (1 + x)x³e⁹x¡ + y5z⁹j+y6z8k O F = (4 + 9x)x³e⁹x₁ + 6y5zºj +9y6z8k
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