Find the extreme values of f(x,y) = 4x + 6y subject to the constraint x² + y² = 13. 2 OA. The maximum is 36 at (3,4). The minimum is 0 at (0,0). OB. The maximum is 26 at (2,3). The minimum is 0 at (0,0). Oc. The maximum is 26 at (2,3). The minimum is - 26 at (-2, -3). OD. The maximum is 36 at (3,4). The minimum is - 36 at (-3,-4).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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Find the extreme values of f(x,y) = 4x+6y subject to the constraint x² + y² = 13.
OA. The maximum is 36 at (3,4). The minimum is 0 at (0,0).
OB. The maximum is 26 at (2,3). The minimum is 0 at (0,0).
OC. The maximum is 26 at (2,3). The minimum is - 26 at (-2,-3).
OD. The maximum is 36 at (3,4). The minimum is - 36 at (-3,-4).
Transcribed Image Text:2 2 Find the extreme values of f(x,y) = 4x+6y subject to the constraint x² + y² = 13. OA. The maximum is 36 at (3,4). The minimum is 0 at (0,0). OB. The maximum is 26 at (2,3). The minimum is 0 at (0,0). OC. The maximum is 26 at (2,3). The minimum is - 26 at (-2,-3). OD. The maximum is 36 at (3,4). The minimum is - 36 at (-3,-4).
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