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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 10RE
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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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