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In Problems 1-5, let R be the region bounded by y = vx , y = 1, and x = 4. Each problem will describe a solid generated by rotating R about an axis. Write an integral expression that can be used to find the 1 1 3 H O volume of the solid (do not evaluate). ) The solid is generated by rotating R about the x-axis In Problems 1-5, let R be the region bounded by y = x?+ 3, y = 2x, x = 0, and x = 4. Each problem will describe the cross sections of a solid that are perpendicular to the x-axis. Write an integral expression that can be used to find the volume of the solid (do not evaluate). 2) The solid is generated by rotating R about the y-axis: 1) The cross sections are squares with one edge in R. ) The solid is generated by rotating R about y = 1. 2) The cross sections are circles with the diameter in R. ) The solid is generated by rotating R about x = -2. 3) The cross sections are equilateral triangles with one edge in R. 5) The solid is generated by rotating R about y = 3. 4) The cross sections are rectangles with the smaller edge in R. The larger edge of the rectangle is three times the smaller edge. 5) The cross sections are semicircles with the diameter in R. MacBook Air A G O > O R T Y 85000_1185500/1185396/7960bb16ee4e11adff6c9c1188c440ea3066c128/1185396.pdf U O 2 1 3 F G H K In Problems 6-10, let R be the region bounded by the semicircle x = \\4 -y? and the y-axis. Each problem will describe the cross sections of a solid that are perpendicular to the y-axis. Write an integral expression that can be used to find the volume of the solid (do not evaluate). 6) The cross sections are squares with one edge in R In Problems 6-10, let R be the region bounded by y = x"+ 1 and y = x + 1.Each problem will describe a solid generated by rotating R about an axis. Write an integral expression that can be used to find the volume of the solid (do not evaluate). 6) The solid is generated by rotating R about the y-axis. 7) The cross sections are circles with the diameter in R. 7) The solid is generated by rotating R about the x-axis. 8) The cross sections are isosceles right triangles with one leg in R. 3) The solid is generated by rotating R about x = 1. 9) The cross sections are squares with the diagonal in R. I ) The solid is generated by rotating R about y = 2 10) The cross sections are quarter circles with the radius in R. 10) The solid is generated by rotating R about x = -3. MacBook Air MacBook Air DI 888 FA F6 DD F7 FO Or de O > O 8 C R Y U O R Y U O T G H K C V B N M