homework help > math > calculus q&a board > topic: area of a region...

Q BgQuestion:

      
Novice
Karma Points: 25
Respect (88%):
posted by  nole3 on 7/20/2009 11:04:17 AM  |  status: Live  |  Earned Karma: 25

Area of a region

Course Textbook Chapter Problem Needs by
Calculus Calculus (5th) by Stewart 6.1 N/A N/A
Question Details:
Find the area of the region bounded by y=x25 and y=x.
Bonus Point Alert! Earn +4 additional karma points for helping this gold member.

AAnswers:

Answer Question Ask for clarification
Sage
Karma Points: 4,943
( brevard community college)
posted by steb on 7/20/2009 11:10:01 AM  |  status: Live
Asker's Rating: Helpful   
Response Details:
I'll assume you mean y = x25 for the first one. These curves intersect when x = 0 and x = 1, and on the interval (0, 1) we have x25 < x, so the area is given by:


Oracle
Karma Points: 10,591
posted by wchau on 7/20/2009 11:33:33 AM  |  status: Live
Asker's Rating: Lifesaver   
Response Details:
To find where the given curves intersect, we solve to get
,
,
.
Since , the cuve is below   at . Thus the given region is bounded above by and below by for . The area of the region is
.
Please consider rating my solution Lifesaver if you find that my solution is the best solution among all available solutions or it is the only solution available!
Answer Question Ask for clarificarion
Ask New Question

Join Cramster's Community

Cramster.com brings together students, educators and subject enthusiasts in an online study community. With around-the-clock expert help and a community of over 100,000 knowledgeable members, you can find the help you need, whenever you need it. Join for free today » How Cramster is different from tutoring »

Need Help In

Useful Links