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Problems 1 - 12, Find the volume of the region bounded by the given functions and revolved about the given axis. 1. y = x2
Problems 1 - 12, Find the volume of the region bounded by the given functions and revolved about the given axis. 1. y = x2 - 4x; y = 0 about the x-axis eixe (and Jund 2. y = x ; y = 3; x = 0 about the y-axis 3. y = V9 - x2 ; y = 0; x =0 about the x-axis\f7. y = x2 ; y = x+2; x =0 about the x-axis 8. y = 2x ; y = 4x2 about the y-axis over 9. y =6 - x2 , x = -2, x = 2, and the x-axis about the x- axis. Find both exact and approximation.10. y = 2x ; y = =x3, x = 0, and y = 0 about the y-axis 11. Let R be the region in the first quadrant bounded by the graph of y = 27 - x3/2, the x-axis, and the y-axis. Find an approximation of the volume of the solid generated when Ris revolved about the x-axis. Show the integral used to calculate your answer. 12. Let R be the region enclosed by the graph of y = x2, the line x = 4, and the x-axis. Write an integral expression that will approximate the volume of the solid generated when Ris revolved about the y-axis. Find an approximation of the volume
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