Question 4 1 pts Consider the function it) = $2 +m between 1: = 1 and m =3. Approximate the average value of this function using 3 rectangles of equal width and left-endpoints. Round your answer to two decimal places. Question 5 1 pts For this question you may use the identity 1+2+3+...+n_"(n+1) 2 for every positive integer n. (a) Find a formula for the approximation of the area under the curve y=2c, between *=0 and *=10, using n rectangles of equal width, and with right endpoints. Call this expression R. . (b) Find a formula for the approximation of the area under the curve y=2x, between =0 and c=10, using n rectangles of equal width, and with left endpoints. Call this expression In . (c) Verify, by computing the two limits, that lim Rn = lim In . 1 00 n-+00 Upload Choose a FileQuestion 6 1 pts Suppose you are trying to approximate the areas of the regions bounded by the following curves. For each region, which type of endpoint, right or left, would give an underestimation of the true area? Explain 1\"Four answer and include a sketch of each region. 1 {aly=;, y=0, 3:1, is 4. lb} y=ex, y=, 3:0, 1:4. [:1 y=e""", y=0, 3:0, 1::4. Uplnad I Choose a File ' Question 7 1 pts 4 Which of the following sums is equal to Z 2"\"'1 ? k=D Choose all that apply. 4 L~=o E] i 2k+l k=l E] i 2k+l k=