3 Consider The Region In The First Quadrant Bounded Above By Y 4 And Below By Y X If The Density Of The Region Is 1 (14.09 KiB) Viewed 11 times
3 Consider The Region In The First Quadrant Bounded Above By Y 4 And Below By Y X If The Density Of The Region Is 2 (8.95 KiB) Viewed 11 times
3. Consider the region in the first quadrant bounded above by y = 4 and below by y = x². If the density of the region is 8(x) = x, find (a) (5 points) the mass of the region; (b) (8 points) the moment about the z-axis. (c) (8 points) the moment about the y-axis. (d) (4 points) the center of mass of the region.
4. (10 points) Use the theorem of Pappus to find the volume generated by revolving about the line x = 1 the triangular region bounded by the coordinate axes and the line 4x - 3y + 12 = 0.
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