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...
DRAW A SKETCH AND SHOW ALL WORK ROUND ANSWER TO HUNDREDS Set up an integral that calculates the volume of the solid formed when revolving the region about the x-axis y 3 sin(2x) and y-XA28x -8 Set up an integral that calculates the volume of the solid formed when revolving the region about the x-axis y 3 sin(2x) and y-XA28x -8
8. Use the shell method to set up and evaluate the integral y- 3x that gives the volume of the solid generated by revolving the plane region about the y-axis. a. 192R b. 384x C. 192x d. 384x e. 96x 7 9. Set up and evaluate the definite integral for the area of the surface formed by revolving graph of y-9-2 about the y-axis. Round your answer to three decimal places. 8. Use the shell method to set up and...
Please solve #13 and #17. In Exercises 13-16, use the shell method to set up and evaluate the integral that gives the volume of the solid generated hy revolving the plane region about the x-axis. 14.,-2-х 13.) у х 12 -2十 In Exercises 17-20, use the shell method to find the volume of the solid generated by revolving the plane region about the indicated line. x2, y 4x x2, about the linex-4 y In Exercises 13-16, use the shell method...
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...
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...
Find the volume of the solid generated by revolving the plane region bounded by the following equations about the x-axis (Use the WASHER method): Find the volume of the solid generated by revolving the plane region bounded by the following equations about the x-axis (Use the WASHER method):
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.
Find the volume (or set up integral) of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region and a typical disk/washer or shell (depending on the method used). Use the method indicated if given, otherwise you choose the method. As indicated, either calculate the integral to find the volume (yes) or just set up the integral - limits of integration included - that you would use to calculate the volume,...
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,
(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.