webassign.net S y y=4x 63 JS Secti... 1 1 8 (a) Using left endpoints (1, 4) y 1 8 (b) Using right endpoints VG O (1, 4) C By computing the sum of these areas of the smaller rectangles (Ls) and the sum of the areas of the larger rectangles (Rg), we obtain better lower and upper estimates for A: 1.0937500 < A < 1.5937500. So one possible answer to the question is to say that the true area lies somewhere between 1.0937500 and 1.5937500. We could obtain better estimates by increasing the number of strips. The table at the left shows the results of similar calculations (with a computer) using n rectangles whose heights are found with left endpoints (Ln) or right endpoints (R). In particular, we see by using 50 strips that the area lies between 1.2936 and 1.3736. With 1000 strips, we narrow it down even more: A lies between 1.3313340 and 1.3353340. A good estimate is obtained by averaging these numbers: A = D + =