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Assume the equation for an ellipse is Ax +2Bxy + Cy D where D has the units of area. Show, by performing the proper two dimensional integral, that the area of the cllipse is VẠC – VAC- B

Assume the equation for an ellipse is Ax +2Bxy + Cy D where D has the units of area. Show, by performing the proper two dimensional integral, that the area of the cllipse is VẠC – VAC- B

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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Assume the equation for an ellipse is Ax +2Bxy + Cy = D where D has the units of area. Show, by performing the proper two dimensional integral, that the area of the ellipse is VAC – B²
Transcribed Image Text:Assume the equation for an ellipse is Ax +2Bxy + Cy = D where D has the units of area. Show, by performing the proper two dimensional integral, that the area of the ellipse is VAC – B²
Expert Solution
Step 1

Given that

Ax2+2Bxy+Cy2=D is an ellipse, where D has the units of area.

To prove that the area of the ellipse is πDAC-B2.

steps

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