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Mathematics, 19.09.2020 01:01 katlynnschmolke

1) Draw an outline of the solid and then draw a typical slice for a right pyramid with height 7 units and a square base of side 4 units. Find the volume using the slicing method. 2) Draw the region bounded by the curves y=cos(2x) and y=sin(2x) for 0≤x≤π/8. Use the disk method to find the volume when the region is rotated around the x-axis. 3) Draw the region bounded by the curves x2−y2=9, x+y=9, y=0 and x=0 . Use the disk method to find the volume when the region is rotated around the x-axis. 4) Draw the region bounded by the curves y=2x2, y=2 and x=0 . Use the disk method to find the volume when the region is rotated around the y-axis. 5) Draw the region bounded by the curves y=1x+1, y=0, x=0 and x=2 . Find the volume when the region is rotated around the y-axis.

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