A flat circular plate has the shape of the region x² + y² ≤ 1. The plate, including the boundary where x² + y² = 1, is heated so that the temperature at the point (x,y) is T(x,y) = x² + 3y²- temperatures at the hottest and coldest points on the plate. 3x. Find the The hottest temperature on the plate is (Type an integer or a simplified fraction.) degrees. (...)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 55E
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A flat circular plate has the shape of the region x² + y² ≤ 1. The plate, including the boundary where x² + y² = 1, is heated so that the temperature at the point (x,y) is T(x,y) = x² + 3y²-x. Find the
temperatures at the hottest and coldest points on the plate.
The hottest temperature on the plate is
(Type an integer or a simplified fraction.)
degrees.
Transcribed Image Text:2 A flat circular plate has the shape of the region x² + y² ≤ 1. The plate, including the boundary where x² + y² = 1, is heated so that the temperature at the point (x,y) is T(x,y) = x² + 3y²-x. Find the temperatures at the hottest and coldest points on the plate. The hottest temperature on the plate is (Type an integer or a simplified fraction.) degrees.
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