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Problem 3: Given the function For given vectors f(x, y, z)= xy² - x²z+yz². v = (1,2,3), u:= (-1,1,-1)", w:= (1, -2,-1)", Compute the following value D³ f(x, y, z) (v, u, w) of the third derivative of f at the point (x, y, z) on (u, v, w) E R³ x R³ x R³.

Problem 3: Given the function For given vectors f(x, y, z)= xy² - x²z+yz². v = (1,2,3), u:= (-1,1,-1)", w:= (1, -2,-1)", Compute the following value D³ f(x, y, z) (v, u, w) of the third derivative of f at the point (x, y, z) on (u, v, w) E R³ x R³ x R³.

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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Problem 3: Given the function For given vectors f(x, y, z) = xy²x²z+yz². v := (1,2,3), u:= (-1,1,-1)", w:= (1, -2, -1), Compute the following value D³ f(x, y, z) (v, u, w) of the third derivative of f at the point (x, y, z) on (u, v, w) ER³ x R³ x R³.
Transcribed Image Text:Problem 3: Given the function For given vectors f(x, y, z) = xy²x²z+yz². v := (1,2,3), u:= (-1,1,-1)", w:= (1, -2, -1), Compute the following value D³ f(x, y, z) (v, u, w) of the third derivative of f at the point (x, y, z) on (u, v, w) ER³ x R³ x R³.
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