5) Use the disk/washer method to set up but do not solve the following Find the volume of the solid generated by revolving the region bounded by y=sin(x), y = 1, x = 0, about the line y = 1. 6) Use the shell method to set up but do not solve the following Find the volume of the solid generated by revolving the region bounded by y=e*, x = 0, x = 1, y = 0 about the line...
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,
9. The region bounded by y = x2, y = 3x, is revolved about the x-axis. a) Sketch the region b) Sketch the solid and a representative disk/washer. c) Set-up the integral to find the volume using disks/washers. DO NOT SOLVE!!!
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
3. (a) If the region sketched in (1) above is revolved about the line y -0 (x-axis), sketch and label the typical rectangle(s) needed to use the shell method to find the volume of the resulting solid. (b) Use the shell method to find the volume of the resulting solid 2 pts [9 pts] 4. (a) If the region sketched in (1) above is revolved about the line x-O。-axis), sketch and label the typical rectangle(s) needed to use the disk/washer...
Set up an integral that calculates the volume of the solid formed when revolving the larger region about the line y 11. Use the washer method.
Set up an integral that calculates the volume of the solid formed when revolving the larger region about the line y 11. Use the washer method.
(b) the volume of the solid generated by revolving the region about the x-axis. (c) the volume of the solid generated by revolving the region about the line x-3 The shaded region below is bounded by the curves y e 2x,y e* and the line x 1. A- 3 y ex 2 yežx Find the area of the shaded region. ) Using washer method, find the volume of the solid generated by revolving the region about the line y -2.
help. i dont know hwo to do this
c) Sketch the graph and set up the integral to find the volume of the solid obtained by rotating Pabout the line y- 1. Vertical or Horizontal slicing? Disk or a Washer? V.[[4ωά α V-[Λωω or Area of a slice A- Volume V d) Sketch the graph and set up the integral to find the volume of the solid obtained by rotating about the y - axis. Vertical or Horizontal slicing? Disk...
Problem 1 part II and Problem 2 part I and II
Problem 1: (Short Answer) 6 pts] The region R is bounded by y 0, 0, 2, and y- 2 4 1, 3 pts] If R is revolved about the line x = 5. If an integral or sunn of integrals with respect to z is used to calculate the volume, explain whether the washer or shell method should be used II. 3 pts) Suppose that R is the base...