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Find the area of the half ellipse and the y-coordinate of its center E = {(x, y) | = y² + < 1, y ≥ 0} y = 16 25 Use x = 4r cos 0, y: = 5r sin for the new variables and provide the corresponding Jacobian determinant. y ÿ - - // ydA. = A 8(x,y) det (5(,0)) Next, calculate the area of the half ellipse and the y-coordinate of its center. A

Find the area of the half ellipse and the y-coordinate of its center E = {(x, y) | = y² + < 1, y ≥ 0} y = 16 25 Use x = 4r cos 0, y: = 5r sin for the new variables and provide the corresponding Jacobian determinant. y ÿ - - // ydA. = A 8(x,y) det (5(,0)) Next, calculate the area of the half ellipse and the y-coordinate of its center. A

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 and the y-coordinate of its center det ( A y = 0(r,g) II. E = {(x, y) | = = Use x = 4r cos 0, y = 5r sin for the new variables and provide the corresponding Jacobian determinant. 16 1 A + y² 25 a(r,0) Next, calculate the area of the half ellipse and the y-coordinate of its center. <1, y ≥ 0} y dA.
Transcribed Image Text:Find the area of the half ellipse and the y-coordinate of its center det ( A y = 0(r,g) II. E = {(x, y) | = = Use x = 4r cos 0, y = 5r sin for the new variables and provide the corresponding Jacobian determinant. 16 1 A + y² 25 a(r,0) Next, calculate the area of the half ellipse and the y-coordinate of its center. <1, y ≥ 0} y dA.
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