- #1

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Table(1) have results from applying the midpoint and trapezoidal rule on 2, 4 and 8 panels

npanels....midpoint.......trapezoid

2...........2.19998820...2.48452890

4...........2.26805993...2.33225855

8...........2.28422520...2.30015924

1) do these number support the claim that integrand is concave down? Why?

2) Calculate the value of Simpson's rule using 8 panels.

3) what is the minimum number of function evaluations needed to calculate Simpson's rule from scratch on 8 panels?

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# 2 is easy: is 2/3(midpoint)+1/3(trappezoid)

Please help me with the other ones.

Thanks