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Find the area of the half ellipse x² y² E = {(x, y) | + · ≤ 1, y ≥ 0} 81 and the y-coordinate of its center y 1 ASSE if ydA. Use x = 2r cos 0, y = 9r sin for the new variables and provide the corresponding Jacobian determinant. det (3) =[ Next, calculate the area of the half ellipse and the y-coordinate of its center. A = y =

Find the area of the half ellipse x² y² E = {(x, y) | + · ≤ 1, y ≥ 0} 81 and the y-coordinate of its center y 1 ASSE if ydA. Use x = 2r cos 0, y = 9r sin for the new variables and provide the corresponding Jacobian determinant. det (3) =[ Next, calculate the area of the half ellipse and the y-coordinate of its center. A = y =

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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Find the area of the half ellipse x² 4 and the y-coordinate of its center Use x = E = {(x, y) | y = y² <1, y>0} the corresponding Jacobian determinant. ydA. 2r cos 0, y = 9r sin for the new variables and provide = det (32) Next, calculate the area of the half ellipse and the y-coordinate of its center. A =
Transcribed Image Text:Find the area of the half ellipse x² 4 and the y-coordinate of its center Use x = E = {(x, y) | y = y² <1, y>0} the corresponding Jacobian determinant. ydA. 2r cos 0, y = 9r sin for the new variables and provide = det (32) Next, calculate the area of the half ellipse and the y-coordinate of its center. A =
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