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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) =

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) =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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