16pts. Use the Disk Method to find the volume of the solid of revolution bounded by...
4. Use the Washer Method to find the volume of a solid of revolution formed by revolving the region bounded above by the graph of y=2x and below by the graph of y=2/x over the interval [1, 4) around the x-axis. X
3. Use the Disk Method to find the volume of the solid of revolution bounded by the graphs of y=x+1 x=-1, and x=2, and rotated about the x-axis.
Determining Volumes by the Disk-Washer Method 1. Find the volume of the solid formed by revolving the region bounded by the graph of f(x) = p sin(x) and the x−axis from 0 ≤ x ≤ π about the x−axis. 2. Find the volume of the solid formed by revolving the region bounded by f(x) = 2 − x 2 and g(x) = 1 about the line y = 1. 3. Find the volume of the solid formed by revolving the...
1) Find the volume of the solid generated by revolving the region bounded by the curves about the x-axis. Use the disk/washer method and show all work in evaluating the integral y=x", y = x 2) Find the volume of the solid generated by revolving the region bounded by the curves about the y-axis. Use the disk/washer method and show all work in evaluating the integral y=x, y = 8,x=0,
volumes of revolution
3) Find the volume of the solid formed by revolving the region bounded by the graphs of y- x+1, y +1, x 0, and x-1 about the x-axis.
3) Find the volume of the solid formed by revolving the region bounded by the graphs of y- x+1, y +1, x 0, and x-1 about the x-axis.
(8 pts.) 2. Use the Dise Method to find the volume of the solid formed by revolving the region bounded by the graphs of y = -x + 6x, y-0. and X-0 about the x-axis. 3. Use the Shell Method to find the volume of the solid formed by revolving the region bounded by the graphs of y = x + 4, y = 0, -0. and x - 2 about the y-axis. (8 pts.)
Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y=x² yo X = 2 (a) the x-axis (b) the y-axis (c) the line x = 5
Use the disk method to find the exact value of the volume of the
solid obtained by revolving the region bounded by ?-axis, the graph
of ?(?) = 1 (1+?????) ,the vertical lines ? = 0 and ? = ? about the
?-axis. ? is a real number such that 0 < ? < 1
Use the disk method to find the exact value of the volume of the sold obtained by revolving the region bounded by x-axis, the graph...
4. Find the volume of the solid formed by revolving the region bounded by the graphs of y=r3, = 2 and y=1 about the y-axis 5. Find volume of the solid formed by revolving the region bounded by the graphs of y=x, y=1 and x = 2 about the line y = 10 6. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 2(x - 2)2 and y = 2 about...
Find the volume of the solid of revolution formed by revolving the region bounded by the x-axis, the curve y=x+sinx, and the line x=π about the x-axis.