Find the maximum and minimum values of the function f(x, y) = 2x? + 3y? – 4x – 5 on the domain x² + y? < 289. The maximum value of f(x, y) is: 505 List the point(s) where the function attains its maximum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7). ( sqrt(289),0),(0,sqrt(289)) The minimum value of f(x, y) is: -7 List points where the function attains its minimum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7). (1. 0)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section5.1: Quardratic Functions
Problem 17SE: For the following exercises, determine whether there is a minimum or maximum value to each quadratic...
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Find the maximum and minimum values of the function f(x, y) = 2x2 + 3y? – 4x – 5 on the domain x? + y? < 289.
The maximum value of f(x, y) is: 505
List the point(s) where the function attains its maximum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3),
(-4,7).
( sqrt(289),0),(0,sqrt(289))
The minimum value of f(x, y) is: -7
List points where the function attains its minimum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7).
(1,0)
Transcribed Image Text:Find the maximum and minimum values of the function f(x, y) = 2x2 + 3y? – 4x – 5 on the domain x? + y? < 289. The maximum value of f(x, y) is: 505 List the point(s) where the function attains its maximum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7). ( sqrt(289),0),(0,sqrt(289)) The minimum value of f(x, y) is: -7 List points where the function attains its minimum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7). (1,0)
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