Question

Question 14 Suppose f(x) is an decreasing, concave up function and you use numeric integration to compute the integral of f over the interval [0, 1]. Put the values of the approximations using n = 100 for the left end-point rule (L100), right end-point rule (R100), and Simpson's rule (S100) from the least to the greatest. a) OS100, L100, R100 b) L100, S100, R100 R100, L100, S100 $100, R100, 2100 R100, S100, L100 O None of the above. Review La estion 15 is question contains a link to a pdf of your free response. Print your name and peoplesoft ID on yo swer document. Show all steps (work) on your answer sheet for full credit. You must upload your for the free response

Answer 1

Since this is decraesing and concave up and we know that for a decraesig concave up function left end points gives the largest value and using right end points given the smallest value. Simpson rule gives the value close to exact value which would lie between left and right end points.

Using all the above facts we get that right sum give the smallest value, simpson gives the middle value and left sum gives the greatest value.

There fore option e is correct.