1. Let F(x, y, z)=x²+4x2+2yz². What is the direction of fastest decrease of Fat (1,2,-1)? (a) (b) (c) (d) (e) 1 1 (-1, -2, 1). (1,-1,2). (-1,1,2). (-2, 1, -1). (2, -1, 1).
1. Let F(x, y, z)=x²+4x2+2yz². What is the direction of fastest decrease of Fat (1,2,-1)? (a) (b) (c) (d) (e) 1 1 (-1, -2, 1). (1,-1,2). (-1,1,2). (-2, 1, -1). (2, -1, 1).
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:1.
Let F(x, y, z) = x²+4x2+2yz². What is the direction of fastest decrease
of F at (1,2,-1)?
(a)
(b)
(c)
(d)
(e)
1
(-1, -2, 1).
(1,-1,2).
(-1,1,2).
(-2, 1, -1).
(2,-1,1).
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