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Let D be the unit disk: x² + y² ≤ 1. Evaluate √√ 4exp(x² + y²) dx dy by making a change of variables to polar coordinates. 4ñ( e − 1)

Let D be the unit disk: x² + y² ≤ 1. Evaluate √√ 4exp(x² + y²) dx dy by making a change of variables to polar coordinates. 4ñ( e − 1)

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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Let D be the unit disk: x² + y² ≤ 1. Evaluate of 4exp(x² + y²) dx dy by making a change of variables to polar coordinates. 4π(e-1) >C= rcos O · y = rsing 2 x² + y² = y² rdrdo dx dy I = √ √ 4 exp SS 4 exp cr²r ardo 2 5 = { S S'exp cr²) 2 r dr do
Transcribed Image Text:Let D be the unit disk: x² + y² ≤ 1. Evaluate of 4exp(x² + y²) dx dy by making a change of variables to polar coordinates. 4π(e-1) >C= rcos O · y = rsing 2 x² + y² = y² rdrdo dx dy I = √ √ 4 exp SS 4 exp cr²r ardo 2 5 = { S S'exp cr²) 2 r dr do
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