The triangular region in the first quadrant,bounded by the graphs of y = 4 x2,y = 4x x2
Chapter 11, Problem 10(choose chapter or problem)
The triangular region in the first quadrant,bounded by the graphs of y = 4 x2,y = 4x x2, and x = 0, is rotated about variousaxes to form various solids.a. Find the mass of the solid formed byrotating the region about the y-axis if thedensity varies directly with x, the distancefrom the y-axis.b. Find the mass of the solid formed byrotating the region about the x-axis if the density varies directly with x, the distancefrom the yz-plane.c. Find the mass of the solid in part a if thedensity varies directly with y, the distancefrom the xz-plane, instead of with x.
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