Worksheet7.2-7.3 - MAC2312 Seminole State College of Florida Worksheet 7.2-7.3 Name Please try to nish before you leave You may work in groups 1

Worksheet7.2-7.3 - MAC2312 Seminole State College of...

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MAC2312 Seminole State College of Florida Worksheet 7.2-7.3 Name: Please try to finish before you leave. You may work in groups. 1. Consider the region bounded by the curvesy=x,y= 0, andx= 4. Set up the definiteintegral that gives the volume of the solid generated by rotating the above region about,(a) the linex= 5 using the shell method.(b) the linex= 5 using the disk method.2. Consider the region bounded by the curvesy=x+ 2,y=x, andy= 0. Set up the definiteintegral that gives the volume of the solid generated by rotating the above region about, (a) the x-axis using the shell method.(b) the x-axis using the disk method. 3. Consider the region bounded by the curvesf(x) = sinxandy= 0 where 0xπ. Set upthe integral to find the volume of the solid of revolution generated by rotating this region aboutthe linex=π+ 1.4. Consider the region bounded by the curvesf(x) =e-(x-3),x= 2,x= 3, andy= 0. Set upthe integral to find the volume of the solid of revolution generated by rotating the region about,

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