Solution) Let R be the region bounded by the curves y=x^3, y=2x-x^2 (a) Calculate the area of R (b) Calculat
Question: (a) Use the washer method to find the volume of the solid obtained by rotating about the y-axis the region bounded by the curves \(y=\ln x\), y = 1 and y = 2.
(b) Use the method of the cylindrical shells to find the volume of the solid obtained by rotating about the y-axis the region bounded by the curves \(y={{x}^{3}}\) ¸ x = 0 and y = 1.
(c) Use both the washer method and the method of the cylindrical shells to find the volume of the solid obtained by rotating about the x-axis the region bounded by the curves \(y=\sqrt{x}\), x = 1 and y = 0.
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Deliverables: Word Document
Deliverables: Word Document
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