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Problem 3. (1 point) Problem 5. (1 point) For this problem, you will need to use the Desmos Riemann Sum Caldalatorproblem you will calculate the

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Problem 3. (1 point) Problem 5. (1 point) For this problem, you will need to use the Desmos Riemann Sum Caldalatorproblem you will calculate the area between f(x) = x and "This link opens a new tab/window.) the x-axis over the interval [1, 10] using a limit of right-endpoint Riemann sums: Initially, the calculator shows a left Riemann sum with n = 5 subintervals for the function /(x) = 2x + 1 on the interval [1, 4]. Update the applet to consider the function f(x) = x + 1 on the same interval. Compute the following Riemann sums. Area = lim L=. M.=. Express the following quantities in terms of n, the number of rect- LIOO = . Mico= Rion = angles in the Riemann sum, and &, the index for the rectangles in the Riemann sum. Observe any patterns you see in the calculations above, and make (1) We start by subdividing [1, 10] into a equal width subin- an educated guess of the exact area bounded by f(x) =x + 1 and tervals [xo, x], [x1,*2],.... [*n-1,a] each of width Ar. the x-axis on the interval [1, 4]. Express the width of each subinterval Ax in terms of the Exact Area = number of subintervals n. Ar= Answer(s) submitted: (2) Find the right endpoints x1, x2, x3 of the first, second, and third subintervals [x,xi], [x1, x2], [x2, x3] and express your answers in terms of n. (Enter a comma separated list.) . . (3) Find a general expression for the right endpoint xx of the Ath subinterval [xx-1,x]. where I

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