Sketch the region enclosed by the given curves. Decide whether to integrate.

Click For Summary

Homework Help Overview

The discussion revolves around sketching the region enclosed by specified curves and determining the appropriate method for integration, either with respect to x or y. Participants are exploring the geometric interpretation and the setup for calculating the area of the region.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the process of sketching the region and the importance of identifying the top and bottom curves for integration. There are questions about the correctness of their approaches and the reasoning behind multiplying by two in the area calculation.

Discussion Status

The discussion is ongoing, with participants sharing their attempts and questioning each other's reasoning. Some guidance has been offered regarding the integration process, but there is no explicit consensus on the correct approach yet.

Contextual Notes

There are indications of confusion regarding the integration setup, particularly in terms of the order of subtraction for the curves and the multiplication factor in the area calculation.

phillyolly
Messages
157
Reaction score
0

Homework Statement



Sketch the region enclosed by the given curves. Decide
whether to integrate with respect to x or y. Draw a typical approximating
rectangle and label its height and width. Then find the
area of the region

Homework Equations





The Attempt at a Solution


I got a negative answer again :(
 

Attachments

  • answer.jpg
    answer.jpg
    26.6 KB · Views: 443
Physics news on Phys.org
Same answer as before. You subtract the curve on the top minus the curve on the bottom and integrate. Not vice versa.
 
Is this right?
 

Attachments

  • answer.jpg
    answer.jpg
    24.8 KB · Views: 382
Yes, don't forget you were going to multiply by two. Are you sure you know why you can do that?
 

Similar threads

Replies
3
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 7 ·
Replies
7
Views
6K
Replies
2
Views
971
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
4
Views
2K