Posted by **sarah** on Wednesday, January 30, 2008 at 6:23pm.

I was given a decreasing concave down graph of the integral F(x) from 0-8.

i have to say whether the following are greater then, less then,equal to, or unable to determine each other

1. T (greater then) M

2. T (greater then) R

3. M (less then) S

4. S ? actual integral

where

t=trapazoidal rule

m=midpoint

s=simpson

r=right end points

are these right?

I said you weren't sure with simpsons whether it was greater than or less than the integral so it would be a ?

the others were determined based on increasing/decreasing and concavity

- CALC -
**Damon**, Wednesday, January 30, 2008 at 6:58pm
I assume by concave down you mean it holds rather than sheds water.

1. agree

2. agree

3. agree

4. Unless they say it is a parabola, You can not say Simpson's rule (the parabolic one -second order) is exact. So agree, can not tell.

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