A Flat crcuiar Plate has the shapeof the region x²+y <1. The Plate,Including the boundary whereX* + y =1, IS heated S0 that thetemperature at the point Kiy) isT(xiy)=x+temperatures at the hottest and coldest2ay-x, Find thePoints on the plate.

To solve this problem we use LAGRANGES MULTIPLAYER Method.

A Flat urcular Plate has the shape of the region x²+y" <1. The plate, Including the boundary where 2 X* + y =!, IS heated so that the %3D temperature at the point Kiy) is T(xiy) =x^+ay²-x. Find the 2 ay-*. %3D temperatures at the hottest and coldest Points on the plate.

A Flat urcular Plate has the shape of the region x²+y" <1. The plate, Including the boundary where 2 X* + y =!, IS heated so that the %3D temperature at the point Kiy) is T(xiy) =x^+ay²-x. Find the 2 ay-*. %3D temperatures at the hottest and coldest Points on the plate.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section9.1: The Graphing Method

Problem 24WE

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Question

A Flat crcuiar Plate has the shape
of the region x²+y <1. The Plate,
Including the boundary where
X* + y =1, IS heated S0 that the
temperature at the point Kiy) is
T(xiy)=x+
temperatures at the hottest and coldest
2
ay-x, Find the
Points on the plate.

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