please show work

24. The results from the left, right, trapezoid, and midpoint rules used to approximate g(t) dt, with the same number of subdivisions for each rule, are as follows: 0.601, 0.632, 0.633, 0.664. (a) Using Figure 7.14, match each rule with its approximation. Figure 7.14 (b) Between which two consecutive approximations does the true value of the integral lie