A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Hi, can someone please help me with this. I really appreciate it.
Given the sum of two iterated integrals
I = 0∫(√2)/2 0 ∫x √(x2 + y2) dydx + (√2)/2 ∫1 0 ∫√1x^2) √(x2 + y2) dydx
a) use the set notation to describe the region D of integration
b) sketch region D
I think I have a general idea, but I'm unsure. Do I set the intervals of dy and dx equal to each other?
Thanks again.
anonymous
 5 years ago
Hi, can someone please help me with this. I really appreciate it. Given the sum of two iterated integrals I = 0∫(√2)/2 0 ∫x √(x2 + y2) dydx + (√2)/2 ∫1 0 ∫√1x^2) √(x2 + y2) dydx a) use the set notation to describe the region D of integration b) sketch region D I think I have a general idea, but I'm unsure. Do I set the intervals of dy and dx equal to each other? Thanks again.

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Don't understand your notation: what is the 0s in front of integral sign?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0My bad. I'll rewrite it.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The first one seems to be describing the line y=x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The whole region is a semicircle of radius one, pierced by y=x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thanks, but i"m still lost. What would the interval of the region be?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0First one 0<y<x 0<x<(sq rt 2)/2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Second one 0<y<sq rt (1x^2) (sq rt2)/2<x<1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh, so I don't have to write a notation that combines the two iterated integrals as one?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I was just 'quoting' what the integrals say to answer your question, I wasn't working on the problem so to speak.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The first one describes a region that looks like a piece of pie between 0 and y=x of length (sq rt 2)/2. And the second part goes from the end of that starting at (sq rt 2)/2 to 1 a sector of a semicircle.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.