- #1
medinaj2160
- 15
- 0
I am solving a sample test for my test on monday, this is the question:
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
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?
************************
# 2 is easy: is 2/3(midpoint)+1/3(trappezoid)
Please help me with the other ones.
Thanks