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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

السؤال

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8. The region bounded by the curves y = √x² + 1, y = 1, and x = 2√2 is revolved about the y- axis. Find the volume of the resulting solid using the shell method. 9. The region bounded by y = x and y = 1 is revolved about the line y = 2. Find the volume of the resulting solid using whatever method is appropriate. 10. The region bounded by the curves y = ex, y = 1, and x = 1 is revolved about the y-axis. Find the volume of the resulting solid using whatever method is appropriate. 11. The region bounded by the curves y = √√1 + 4x, y = 0, x = 1, and x = 5 is revolved about the x-axis. Find the volume of the resulting solid using whatever method is appropriate. 12. The region bounded by the curves x + y = 7, and x = 11 - (y-2)² is revolved about the x-axis. Find the volume of the resulting solid using whatever method is appropriate.

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