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A flat circular plate has the shape of the region x² + y? < 1. The plate, including the boundary a? + y? 1, is heated so that the temperature at the point (x, y) is T (x, y) : 2.a2 + y? – y. Find the temperatures at the hottest point on the plate. 3 The hottest is 2.25°C at 2 2 3 2' 2 1 The hottest is 2.25°C at The hottest is -0.25°C at ( 0, 3 1 2 2 The hottest is 2.25°C at

A flat circular plate has the shape of the region x² + y? < 1. The plate, including the boundary a? + y? 1, is heated so that the temperature at the point (x, y) is T (x, y) : 2.a2 + y? – y. Find the temperatures at the hottest point on the plate. 3 The hottest is 2.25°C at 2 2 3 2' 2 1 The hottest is 2.25°C at The hottest is -0.25°C at ( 0, 3 1 2 2 The hottest is 2.25°C at

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 63E
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Question 14 A flat circular plate has the shape of the region x2 + y? < 1. The plate, including the boundary x² + y² 1, is heated so that the temperature at the point (x, y) is T (x, y) = 2a² + y² – y. Find the temperatures at the hottest point on the plate. 1 3. The hottest is 2.25°C at 1 The hottest is 2.25°C at 2' 2 The hottest is –0.25°C at ( 0, 2 (V) 3 1 The hottest is 2.25° C at
Transcribed Image Text:Question 14 A flat circular plate has the shape of the region x2 + y? < 1. The plate, including the boundary x² + y² 1, is heated so that the temperature at the point (x, y) is T (x, y) = 2a² + y² – y. Find the temperatures at the hottest point on the plate. 1 3. The hottest is 2.25°C at 1 The hottest is 2.25°C at 2' 2 The hottest is –0.25°C at ( 0, 2 (V) 3 1 The hottest is 2.25° C at
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