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

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

Advanced Engineering Mathematics
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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The gradient vector field of a function f (x, y) is shown on the picture below. 3 -3 -2 -1 1 Which of the following infinitesimal changes of (r, y) will increase f (x, y)? Select all that apply. Starting from (x, y) = (-2, 1), decrease slightly. Starting from (x, y) = (1, 2), decrease y slightly. Starting from (x, y) = (1, 2), increase x slightly. Starting from (x, y) = (-2, 1), increase y slightly. None of the above.
Transcribed Image Text:The gradient vector field of a function f (x, y) is shown on the picture below. 3 -3 -2 -1 1 Which of the following infinitesimal changes of (r, y) will increase f (x, y)? Select all that apply. Starting from (x, y) = (-2, 1), decrease slightly. Starting from (x, y) = (1, 2), decrease y slightly. Starting from (x, y) = (1, 2), increase x slightly. Starting from (x, y) = (-2, 1), increase y slightly. None of the above.
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