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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 15BEXP
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Find the extreme values of f(x,y) = 4x+6y subject to the constraint x² + y² = 13.
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OA. The maximum is 36 at (3,4). The minimum is - 36 at (-3,-4).
OB. The maximum is 36 at (3,4). The minimum is 0 at (0,0).
O C. The maximum is 26 at (2,3). The minimum is 0 at (0,0).
OD. The maximum is 26 at (2,3). The minimum is - 26 at (-2,-3).
Transcribed Image Text:2 Find the extreme values of f(x,y) = 4x+6y subject to the constraint x² + y² = 13. In OA. The maximum is 36 at (3,4). The minimum is - 36 at (-3,-4). OB. The maximum is 36 at (3,4). The minimum is 0 at (0,0). O C. The maximum is 26 at (2,3). The minimum is 0 at (0,0). OD. The maximum is 26 at (2,3). The minimum is - 26 at (-2,-3).
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