A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Find a function f for which the limit below represents the area under f on the interval [0, a].
Here we assume the rectangles used have equal widths and right endpoints as sample points.
http://i49.tinypic.com/20ua7i9.jpg
anonymous
 3 years ago
Find a function f for which the limit below represents the area under f on the interval [0, a]. Here we assume the rectangles used have equal widths and right endpoints as sample points. http://i49.tinypic.com/20ua7i9.jpg

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0any guesses for this one?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0no guesses? i guess \(f(x)=x^2\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0on the interval \([0,1]\) divide the interval in to \(n\) parts each of length \(\frac{1}{n}\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Just x^2? I thought it had to be more than that though

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the first simple point will be \(\frac{1}{n}\) the second will be \(\frac{2}{n}\) and the \(i\)th will be \(\frac{i}{n}\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0then for each \(i\), \(f(\frac{i}{n})=\frac{i^2}{n^2}\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh wow! Dang. I hate this notation. It makes it ten times more complicated than it needs to be.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0multiply each by \(\frac{1}{n}\) and add the up you get \[\sum\frac{i^2}{n^3}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0well don't be hoodwinked in to thinking these are all that easy usually it is much harder to tell

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I have another one a lot like this. with a sqaure root. but I'm not sure about it

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0but the first clue should have been the \(i^2\) on the other hand if the interval had be \([1,2]\) it would have been completely different

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0interesting, because the i and n values would be different right?
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.