The graph below represents some level curves of a function f(x, y). (a) Identify a point for each of the following types A such that f.(A) > 0 and fy(A) > 0, B such that f-(B) > 0 and fy(B) < 0, (b) At each of the points you picked in Part (a), sketch the gradient. C such that f-(C) < 0 and fy(C) > 0, D such tha t fz(D) < 0 and fy(D) < 0. Hint: use Theorem 12.12 on the book. With that, you could also solve first Part (b) and then Part (a) of this exercise.
The graph below represents some level curves of a function f(x, y). (a) Identify a point for each of the following types A such that f.(A) > 0 and fy(A) > 0, B such that f-(B) > 0 and fy(B) < 0, (b) At each of the points you picked in Part (a), sketch the gradient. C such that f-(C) < 0 and fy(C) > 0, D such tha t fz(D) < 0 and fy(D) < 0. Hint: use Theorem 12.12 on the book. With that, you could also solve first Part (b) and then Part (a) of this exercise.
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:2. The graph below represents some level curves of a function f(x,y).
(a) Identify a point for each of the following types
A such that f-(A) > 0 and fy(A) > 0,
B such that fr(B) > 0 and fy(B) < 0,
C such that f(C) < 0 and fy(C) > 0,
D such tha t fz(D) < 0 and fy(D) < 0.
(b) At each of the points you picked in Part (a), sketch the gradient.
Hint: use Theorem 12.12 on the book. With that, you could also solve first Part (b) and then Part (a) of this exercise.
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