The following data give approximations to the integral m = sin(x)dx: n (1) = 1.570796 n = 1.896119 (2) = 1.974232 n(= 1.993570 assuming m = n1(h) + k1h2 + k2h4 + k3h6 + k4h8 + o(h10), use richardson's extrapolation iteratively to compute n2(h), n3(h) and n4(h). (5) suppose that n1(h) is an approximation to m for every h > 0 and that: m = n1(h) + kih+ k2h+ k3h + for constants k1, k2, k3 use the values n1(h), ni(h/3) and ni(h/9) to produce an o(h3) ap- proximation to m.