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Let D₁ and D₂ be the regions in the picture below. Y x² + y² = 25 4 D₁ D2 x² (a) Consider a change to polar coordinates to evaluate the integral xy (b) If D = D₁ U D2, then evaluate the integral J₂ 2²² ;ddy. + y² 2 y = x x ¹1₂₁ ² ,dxdy. xy + y² x²

Let D₁ and D₂ be the regions in the picture below. Y x² + y² = 25 4 D₁ D2 x² (a) Consider a change to polar coordinates to evaluate the integral xy (b) If D = D₁ U D2, then evaluate the integral J₂ 2²² ;ddy. + y² 2 y = x x ¹1₂₁ ² ,dxdy. xy + y² x²

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 D₁ and D₂ be the regions in the picture below. YA x² + y² = 25 D₁ D2 x² + y² =9 No (a) Consider a change to polar coordinates to evaluate the integral xy y² (b) If D = D₁ U D2, then evaluate the integral W₂2² + y2dedy. 4 2 y = x χ xy x² + y² dædy.
Transcribed Image Text:Let D₁ and D₂ be the regions in the picture below. YA x² + y² = 25 D₁ D2 x² + y² =9 No (a) Consider a change to polar coordinates to evaluate the integral xy y² (b) If D = D₁ U D2, then evaluate the integral W₂2² + y2dedy. 4 2 y = x χ xy x² + y² dædy.
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