14) The cross sections are squares perpendicular to the y-axis with the diagonal in R. 15) The cross sections are circles perpendicular to the x-axis with the diameter in R.In Problems 11-15, let R be the region bounded by the lines y = 4 - x, x = -2, and the x-axis. Each problem will describe the cross sections of a solid. Find the volume of that solid (you do evaluate these problems).A region bounded by fix} = 3 x, v = 0, and x = D is shown below. Find the volume of the solid formed by revolving the region about the xexis. O v=3n O v=9n O v=9n2 A region bounded by f(x) = v4 - a2 , y = 0, and x = 0 is shown below. Find the volume of the solid formed by revolving the region about the x-axis. Y W X -5432-1-1 2345 O V = 16 O V = 16 TI O V= 32 T 3 O V = 32 ITA region bounded by x} = 5 x, v = 1, x = 1, and x = Bis shown below. Find the volume of the solid formed by revolving the region about the xaxis. O lvl=2111 A region bounded by f(x) = = x2, y = 0, and x = 4 is shown below. Find the volume of the solid formed by revolving the region about the x-axis. Y + -NWAGOTOO X 1 2 3 4 5 6 7 89 O V = 512 TIA region bounded by f(x) = = x2, y = 0, and x = 4 is shown below. Find the volume of the solid formed by revolving the region about the x-axis. LY X 1 2 3 4 5 6 7 89 O V = 512 TI O V= 256 5 O V = 256 TT O V = 256 5A region bounded by x} = 3x + 1, v = 3, I. = 1, and I. = 2 is shown below. Find the volume of the solid formed by revolving the region about the xaxis. 1234SETB O V=7rr O V=2211 O V=Brr A region bounded by f(y) = vy , y = 1, y = 4, and x = 0 is shown below. Find the volume of the solid formed by revolving the region about the y-axis. LY ANDADONO 7X 5432 -1412345 -2 O V = 8 O V = 15 TI O V = 15 O V = 8 TIA region bounded by f(x) = 2x, y = 3, and x = 0 is shown below. Find the volume of the solid formed by revolving the region about the y-axis. LY -NWA UI X 5432-4-12345 O V= O V= O V= O V = TA region bounded by f(y) = vy , y = 9, and x = 1 is shown below. Find the volume of the solid formed by revolving the region about the y-axis. LY -NWAGOTOO X 2345 6 789 O V = 32 TI O V= 09 /00 TT O V= 32 3 - TT O V= 16A region bounded by fly} = 4 v, x = v, and x = D is shown below. Find the volume of the solid formed by revolving the region about the vaxis. 54-3-2 1234 .2 s .4 5 O V=32Tr -16 O '53-??? O V=vr A region bounded by f(x) = = x - - , y = 0, y = 2, and x = 0 is shown below. Find the volume of the solid formed by revolving the region about the y-axis. X 1 234 5 6 7 8 O V = 46 TT O V = 48 TI O V = 48 O V= 62 3 TT\fFind the area between the graph of x = =z and the y-axis on the interval [1, 4 05 05Find the area between the graph of x = -2y + 5 and the y-axis on the interval [-1, 2]. + - N -211Question 4 (3 points) Find the area between the graph of x = 2y + 3 and the y-axis on the interval [0, 2]. -NW X -2 14 1 2 345678
