(8 pts.) 2. Use the Dise Method to find the volume of the solid formed by...
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...
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...
16pts. Use the Disk Method to find the volume of the solid of revolution bounded by the graphs of y=x+1 1. und 2, and rotated about the x-axis. 87 16 pts] 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 A
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
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.
Volume and cylindrical shell method Question 8 (10 points) Find the volume of the solid formed by rotating the region bounded by y = 0, y = 1/(1 + x²), x = 0 and x = 1 about the y-axis. Question 6 (10 points) Rotate the region bounded by y = 2x2 and y = x3 X about the X-axis
Use the shell method to find the volume of the solid generated by revolving the region bounded by y= 7x-6, y= 7x, and x = 0 about the y-axis. Set up the integral that gives the volume of the solid.
(b) Use the Shell method to compute the volume of the solid obtained by revolving the region bounded by the graphs of 1g(r) = 3 - r f(x) about the line x = 2 (b) Use the Shell method to compute the volume of the solid obtained by revolving the region bounded by the graphs of 1g(r) = 3 - r f(x) about the line x = 2
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
(55 pts.) Use the Shell Method to Set up and Evaluate the volume of the solid generated by revolving the region bounded above by the graph of f(x) = sinºx, below by the x-axis, and the vertical lines x = 0 and x = n about the y-axis.