Find the extreme values of f(x.y) = 5x + 2y? subject to the constraint x + y? = 1. A. The maximum is 5 at (0, + 1). The minimum is 0 at (0,0). B. The maximum is 5 at (+ 1,0). The minimum is 2 at (0, t 1). OC. The maximum is 5 at (+ 1,0). The minimum is 0 at (0,0). O D. The maximum is 5 at (0, ± 1). The minimum is 2 at ( ±1,0).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Find the extreme values of f(x,y) = 5x? + 2y? subject to the constraint x? + y? = 1.
A. The maximum is 5 at (0, + 1). The minimum is 0 at (0,0).
B. The maximum is 5 at (+ 1,0). The minimum is 2 at (0, ± 1).
OC. The maximum is 5 at (+ 1,0). The minimum is 0 at (0,0).
O D. The maximum is 5 at (0, ± 1). The minimum is 2 at ( ±1,0).
Transcribed Image Text:Find the extreme values of f(x,y) = 5x? + 2y? subject to the constraint x? + y? = 1. A. The maximum is 5 at (0, + 1). The minimum is 0 at (0,0). B. The maximum is 5 at (+ 1,0). The minimum is 2 at (0, ± 1). OC. The maximum is 5 at (+ 1,0). The minimum is 0 at (0,0). O D. The maximum is 5 at (0, ± 1). The minimum is 2 at ( ±1,0).
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