The gradient vector field of a function f (x, y) is shown on the picture below. A None of the above. 3 2 1 T 1 -2 ↓ Z -1 0 x 1 2 3 Which of the following infinitesimal changes of (x, y) will increase f (x, y)? Select all that apply. Starting from (x, y) = (1, 2), decrease a slightly. Starting from (x, y) = (-2, 1), increase a slightly. Starting from (x, y) = (1, 2), decrease y slightly. Starting from (x, y) = (-2, 1), increase y slightly.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The gradient vector field of a function f (x, y) is shown on the picture below.
3
None of the above.
2
1
-3
1
-2
-1
0
X
1
2
3
Which of the following infinitesimal changes of (x, y) will increase f (x, y)? Select all that apply.
Starting from (x, y) = (1, 2), decrease x slightly.
Starting from (x, y) = (-2, 1), increase a slightly.
Starting from (x, y) = (1,2), decrease y slightly.
Starting from (x, y) = (-2, 1), increase y slightly.
Transcribed Image Text:The gradient vector field of a function f (x, y) is shown on the picture below. 3 None of the above. 2 1 -3 1 -2 -1 0 X 1 2 3 Which of the following infinitesimal changes of (x, y) will increase f (x, y)? Select all that apply. Starting from (x, y) = (1, 2), decrease x slightly. Starting from (x, y) = (-2, 1), increase a slightly. Starting from (x, y) = (1,2), decrease y slightly. Starting from (x, y) = (-2, 1), increase y slightly.
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