1 Summary Notation problem? (riemann sums)

I'm not sure how to use Riemann sums with summary notation..please help?

The function y = f(x) is graphed below:

http://imagizer.imageshack.us/v2/800x600q90/841/a45g.jpg

Which of the following Riemann sums yields the exact area under the curve on the interval [0, 6]?

I. R=E(above=4)below=k=1 f(wk)deltaxk, where subdivisions are at {0, 2, 3, 4, 6} and right-hand endpoints are used.

II. R=E(above=4)below=k=1 f(wk)deltaxk, where subdivisions are at {0, 2, 3, 4, 6} and midpoints are used.

III.R=E(above=6)below=k=1 f(wk)deltaxk , where 6 equal subdivisions and right-hand endpoints are used.

I only

II only

III only

I and II only---my answer

I, II, and III

Re: 1 Summary Notation problem? (riemann sums)

Quote:

Originally Posted by

**justneedsomehelp987**

If you really think we can help you please learn to attach images in your postings.

Many of us do not like to go to other sites. At least learn to inert links in the post.

Re: 1 Summary Notation problem? (riemann sums)

Quote:

Originally Posted by

**Plato** If you really think we can help you please learn to attach images in your postings.

Many of us do not like to go to other sites. At least learn to inert links in the post.

I'd even say that if we have to deal with charted data make it in a format where we can cut and paste it into software.

I'm not going to spend my time transcribing a bunch of data points from an image into excel. Sorry.