Question

help!

Answer 1

@Mertsj

Answer 2

I think the right endpoint is 6 and it is an overestimate. What do you think?

Answer 3

yes overestimate.
the right end point 6 is wrong

Answer 4

how do i calculate it? I think it needs to be more specific

Answer 5

@Mertsj

Answer 6

If you want the y value that would be 36/9 or 4

Answer 7

How did you get 6.833 for the sum ?

you want the sum of the area of all the rectangles

Answer 8

The height of each rectangle is taken by the x-value on the right side of each rectangle.
Example: the first rectangle has height y evaluated at x=2.5
that is y= 2.5^2/9
its width is 0.5, so its area is 2.5^2/18
you must add up the areas of each of the rectangles.

Answer 9

we can write the sum as
1/18 * (2.5^2 + 3^2 + 3.5^2 + 4^2 + 4.5^2 + 5^2 + 5.5^2 + 6^2)=

Answer 10

@phi Is it asking for the area?

Answer 11

yes, this is an exercise in showing how calculus "works"

Answer 12

http://en.wikipedia.org/wiki/Riemann_sum

Answer 13

Thank you for your explanation!