(d) In what direction does Vf point at point P? in the direction (Give a vector that points generally in the right direction.) In what direction does Vf point at point Q? in the direction (Again, give a vector that points generally in the right direction.)

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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Note that:
So,
Gradient of function of at
the contour line of f passing through that
JF (P) =
Ff(q)
any
(0.25, -1)
< 1, 0.25)
boint
1
is
point
90°
perpendicular to
р
=f(p)
90°
0 12
Jf(Q)
{Approximately "not exactly"}
{ Approximately not exactly"}
Transcribed Image Text:Note that: So, Gradient of function of at the contour line of f passing through that JF (P) = Ff(q) any (0.25, -1) < 1, 0.25) boint 1 is point 90° perpendicular to р =f(p) 90° 0 12 Jf(Q) {Approximately "not exactly"} { Approximately not exactly"}
A contour diagram for the smooth function z = f(x, y) is shown below.
--1
3
6
2.5
(d) In what direction does Vf point at point P?
in the direction
918
6
(Give a vector that points generally in the right direction.)
In what direction does Vf point at point Q?
in the direction
(Again, give a vector that points generally in the right direction.)
Transcribed Image Text:A contour diagram for the smooth function z = f(x, y) is shown below. --1 3 6 2.5 (d) In what direction does Vf point at point P? in the direction 918 6 (Give a vector that points generally in the right direction.) In what direction does Vf point at point Q? in the direction (Again, give a vector that points generally in the right direction.)
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