Consider the function f(x, y) - 20²-11y2 + 10zy over the unit square 0≤x≤ 1,0 ≤ y ≤ 1. NOTE: Enter the exact answer. (a) Find the maximum and minimum values of f on each edge of the square. Maxifrauma Edge a=0: f(x, y) = Edge x = 1: f(x, y) = Minimum f(x, y) = f(x, y) =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
Problem 4AGP
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Consider the function f(x, y) 20-11y+ 10ry over the unit
square 0<x < 1,0<y<1.
NOTE: Enter the eract ansuer.
(a) Find the maximum and minimum values of f on each edge
of the square.
Maximum
Minimum
Edge = 0: f(x, y):
f(2, y)
%3D
Edge a 1: f(x, y) =
/(, ४) =
%3D
%3D
Edge y 0: f(x,y) =
(r, y) =
Edge y = 1: f (x, y) –
Transcribed Image Text:Consider the function f(x, y) 20-11y+ 10ry over the unit square 0<x < 1,0<y<1. NOTE: Enter the eract ansuer. (a) Find the maximum and minimum values of f on each edge of the square. Maximum Minimum Edge = 0: f(x, y): f(2, y) %3D Edge a 1: f(x, y) = /(, ४) = %3D %3D Edge y 0: f(x,y) = (r, y) = Edge y = 1: f (x, y) –
Question 9 of 12
-/5 E
(b) Find the maximum and minimum values off on each diagonal
of the square.
Maximum
Minimum
y = x : f(x, y) =
f(t,y) =
y = 1– 1 : f (a, y) =
f(r, y) =
(c) Find the maximum and minimum values of f on the entire square.
Maximum
Minimum
Entire square f(e, y) =
f(r, y) =
%3D
Transcribed Image Text:Question 9 of 12 -/5 E (b) Find the maximum and minimum values off on each diagonal of the square. Maximum Minimum y = x : f(x, y) = f(t,y) = y = 1– 1 : f (a, y) = f(r, y) = (c) Find the maximum and minimum values of f on the entire square. Maximum Minimum Entire square f(e, y) = f(r, y) = %3D
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