I need help with this question. See Example 1 in Section 5.1. Now suppose that the region S is divided into 5 strips of equal width. Leteach strip be approximated with a rectangle whose height is determined using a right endpoint.a) Find the sum of the areas of these 5 rectangles.R3 =b) Which of the following is true?O R, underestimates the area of SO R, overestimates the area of SO R, equals the area of SQuestion Help: O Message instructor D Post to forumSubmit Question V EXAMPLE 1 Estimating an area Use rectangles to estimate the area under theparabola y = x' from 0 to 1 (the parabolic region S illustrated in Figure 3).SOLUTION We first notice that the area of S must be somewhere between 0 and 1 becauseS is contained in a square with side length 1, but we can certainly do better than that.Suppose we divide S into four strips Sj, S2, S, and S, by drawing the vertical lines x = ;.x = , and x = as in Figure 4(a).FIGURE 3уf1,1)(1,1)y =S,S,S,S,FIGURE 4(a)(b)333SECTION 5.1 AREAS AND DISTANCE!we can approximate each strip by a rectangle whose base is the same as the strip andwhose height is the same as the right edge of the strip [see Figure 4(h)]. In other words,the heights of these rectangles are the values of the function (() = x' at the right end-points of the subintervals (0. J. [. }|. (:. :), and [;. 1].Each rectangle has width and the heights are (}, (. (GY, and 1'. If we let R. bethe sum of the areas of these approximating rectangles, we getR, = · (:)} + } · (C) + ! · G}' + ! • 1² = ; = 0,46875From Figure 4(b) we see that the area A of S is less than Ra, soA< 0.46875Instead of using the rectangles in Figure 4(b) we could use the smaller rectangles inFigure 5 whose heights are the values of f at the left endpoints of the subintervals. (Thelertmost rectangle has collapsed because its height is 0.) The sum of the areas of theseapproximating rectangles isy =rL, = : 0° +: (' + : G} +! · () = = 0.21875We see that the area of S is larger than L.. so we have lower and upper estimates for A:0.21875

Name: I need help with this question. See Example 1 in Section 5.1. Now supp
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Description: I need help with this question. See Example 1 in Section 5.1. Now suppose that the region S is divided into 5 strips of equal width. Leteach strip be approximated with a rectangle whose height is determined using a right endpoint.a) Find the sum of t