CALC

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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 -

    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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