Please solve this question and sketch the region. Thank you!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve this question and sketch the region. Thank you!
(a) On the axes below, draw level curves for a function f(x, y) that satisfy the following:
(i) f(x, y) has a saddle point at (3,2).
(ii) f(x, y) has a local maximum at (0, 1).
(iii) f(x, y) has a global minimum on the bottom right corner of the region shown.
(iv) Vf(-3,0) = (-1,1)
-2
4-y-
N
0
N
Transcribed Image Text:(a) On the axes below, draw level curves for a function f(x, y) that satisfy the following: (i) f(x, y) has a saddle point at (3,2). (ii) f(x, y) has a local maximum at (0, 1). (iii) f(x, y) has a global minimum on the bottom right corner of the region shown. (iv) Vf(-3,0) = (-1,1) -2 4-y- N 0 N
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