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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
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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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