Question

Notify Me Bookmark

Use the disk method to find the volume of the solid generated by revolving about the y -axis the region (shown below) enclosed by the curve x = e −y, the x -axis and the vertical line x = ln2.

Use the disk method to find the volume of the solid generated by revolving about the y -axis the region (shown below) enclosed by the curve x = e −y, the x -axis and the vertical line x = ln2.

Image text
  1. Use the disk method to find the volume of the solid generated by revolving about the y -axis the region (shown below) enclosed by the curve x = e − y , the x -axis and the vertical line x = ln ⁡ 2 .

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

Used the disk method to find the volume of the cone generated by revolving about the x -axis the region (shown below) enclosed by the curve y = 2x, the x -axis and the vertical line x = 1. Confirm your result using the formula for the volume of a cone ( V = 1/3πr2h).

Solution
0 0

Use the shell method to find the volume of the solid generated by revolving the region bound by y = 3x, y = 0, and x = 2 about the following lines. a. The y-axis b. The line x = 6 c. The line x = -9 d. The x-axis e. The line y = 8 f. The line y = -2 a. Set up the integral that gives the volume of the solid generated by revolving around the y-axis. The volume of the given solid is dx (Type an exact answer in terms of π.) b. Set up the integral that gives the volume of the solid generated by revolving around the line x = 6. The volume of the given solid is cubic units. (Type an exact answer in terms of π.) c. Set up the integral that gives the volume of the solid generated by revolving around the line x = -9 The volume of the given solid is cubic units. (Type an exact answer in terms of π.) d. Set up the integral that gives the volume of the solid generated by revolving around the x-axis. The volume of the given solid is cubic units. (Type an exact answer in terms of π.) e. Set up the integral that gives the volume of the solid generated by revolving around the line y = 8. The volume of the given solid is cubic units. (Type an exact answer in terms of π.) f. Set up the integral that gives the volume of the solid generated by revolving around the line y = -2. The volume of the given solid is cubic units. (Type an exact answer in terms of π.)

Use the shell method to find the volume of the solid generated by revolving the region bound by y = 3x, y = 0, and x = 2 about the following lines. a. The y-axis b. The line x = 6 c. The line x = -9 d. The x-axis e. The line y = 8 f. The line y = -2 a. Set up the integral that gives the volume of the solid generated by revolving around the y-axis. The volume of the given solid is dx (Type an exact answer in terms of π.) b. Set up the integral that gives the volume of the solid generated by revolving around the line x = 6. The volume of the given solid is cubic units. (Type an exact answer in terms of π.) c. Set up the integral that gives the volume of the solid generated by revolving around the line x = -9 The volume of the given solid is cubic units. (Type an exact answer in terms of π.) d. Set up the integral that gives the volume of the solid generated by revolving around the x-axis. The volume of the given solid is cubic units. (Type an exact answer in terms of π.) e. Set up the integral that gives the volume of the solid generated by revolving around the line y = 8. The volume of the given solid is cubic units. (Type an exact answer in terms of π.) f. Set up the integral that gives the volume of the solid generated by revolving around the line y = -2. The volume of the given solid is cubic units. (Type an exact answer in terms of π.)

Use the shell method to find the volume of the solid generated by revolving the region bound by y = 3x, y = 0, and x = 2 about the following lines. a. The y-axis b. The line x = 6 c. The line x = -9 d. The x-axis e. The line y = 8 f. The line y = -2 a. Set up the integral that gives the volume of the solid generated by revolving around the y-axis. The volume of the given solid is dx (Type an exact answer in terms of π.) b. Set up the integral that gives the volume of the solid generated by revolving around the line x = 6. The volume of the given solid is cubic units. (Type an exact answer in terms of π.) c. Set up the integral that gives the volume of the solid generated by revolving around the line x = -9 The volume of the given solid is cubic units. (Type an exact answer in terms of π.) d. Set up the integral that gives the volume of the solid generated by revolving around the x-axis. The volume of the given solid is cubic units. (Type an exact answer in terms of π.) e. Set up the integral that gives the volume of the solid generated by revolving around the line y = 8. The volume of the given solid is cubic units. (Type an exact answer in terms of π.) f. Set up the integral that gives the volume of the solid generated by revolving around the line y = -2. The volume of the given solid is cubic units. (Type an exact answer in terms of π.)
Solution
0 0

Find the volume of the solid generated by revolving the following region about the given axis. The region in the first quadrant bounded above by the curve y = x^2, below by the x-axis, and on the right by the line x = 1, about the line x = -4. Use the washer method to set up the integral that gives the volume of the solid. Use the washer method to set up the integral that gives the volume of the solid. V = dy (Type exact answers, using π as needed.)
Solution
0 0