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5. Sketch the region of the plane bounded by the curves x = y^2 - 1 and x = 2y - y^2, then calculate its area. 6. Find the center of mass of a thin plate of density o = 3 limited by the lines x = 0, y = x and by the parabola y = 2 - x^2 in the first quadrant.

5. Sketch the region of the plane bounded by the curves x = y^2 - 1 and x = 2y - y^2, then calculate its area. 6. Find the center of mass of a thin plate of density o = 3 limited by the lines x = 0, y = x and by the parabola y = 2 - x^2 in the first quadrant.

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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人工知能を使用せず、 すべてを段階的にデジタル形式で解決してください。 ありがとう SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE CHATGPT 5. Sketch the region of the plane bounded by the curves x = y^2-1 and x = 2y-y^2, then calculate its area. 6. Find the center of mass of a thin plate of density = 3 limited by the lines x = 0, y = x and by the parabola y = 2 - x^2 in the first quadrant.
Transcribed Image Text:人工知能を使用せず、 すべてを段階的にデジタル形式で解決してください。 ありがとう SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE CHATGPT 5. Sketch the region of the plane bounded by the curves x = y^2-1 and x = 2y-y^2, then calculate its area. 6. Find the center of mass of a thin plate of density = 3 limited by the lines x = 0, y = x and by the parabola y = 2 - x^2 in the first quadrant.
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