Question: Consider the region bounded by II = 4 I1, the x-axis, and the y-axis in the rst quadrant. Answer the following, providing a sketch of

Consider the region bounded by II = 4 I1, the x-axis,

Consider the region bounded by II = 4 I1, the x-axis, and the y-axis in the rst quadrant. Answer the following, providing a sketch of the solid and an arbitrary cross-section or cylindrical shell (depending on the method used). Show your work in setting up the integral, then integrate by hand or using technology. (a) Find the exact volume of the solid obtained by revolving the region about the x-axis. v: (b) Find the exact volume of the solid obtained by revolving the region about the horizontal line y = -1. V

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