Calculate each of the following approximations for http://webwork.math.uwyo.edu/webwork...52d1574201.png.

LEFT(2) = got this

RIGHT(2) =

TRAP(2) = got this

MID(2) = got this

I cant seem to figure out the right one

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- Oct 8th 2008, 06:20 PMamiv4riemann sums
Calculate each of the following approximations for http://webwork.math.uwyo.edu/webwork...52d1574201.png.

LEFT(2) = got this

RIGHT(2) =

TRAP(2) = got this

MID(2) = got this

I cant seem to figure out the right one - Oct 8th 2008, 06:33 PMJhevon
if you got the left one, why is the right one that much different. by the way the 2 means you made 2 subintervals right? so you have 2 rectangles.

so you let $\displaystyle x_0 = 0, ~x_1 = 2, \text{ and } x_2 = 4$

for the LEFT(2) you chose the height of your two rectangles to be $\displaystyle f(x_0)$ and $\displaystyle f(x_1)$, where $\displaystyle f(x) = \frac {-5}{(x + 1)^3}$

so for the RIGHT(2), do pretty much the same thing, except choose $\displaystyle f(x_1)$ and $\displaystyle f(x_2)$ for the height of your rectangles. - Oct 8th 2008, 06:36 PMamiv4
i did that and got 2(-.18159-.04)

but for some reason it says that aint right - Oct 8th 2008, 06:45 PMJhevon
- Oct 8th 2008, 06:47 PMamiv4
oh shoot i switched two numbers