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QUESTION 7 Let R be the region bounded by the graph 1; = 3x 1, x- axis and vertical lines :6 = 2 and :r,

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QUESTION 7 Let R be the region bounded by the graph 1; = 3x 1, x- axis and vertical lines :6 = 2 and :r, = 5. Find the formula for the left endpoint approximation Ln = Z f(:i?) Ax, where 53} = x;_1, is the left endpoint of subinterval [xi_1,x,~] , l S i S n, \":1 of the area AU?) of the region and use it to nd A (R) As your answer please enter the value of A (R). QUESTION 8 Let f (x) = v'] 3:2. Find the left and the right endpoint approximations of the area A (R) of the region R bounded by the graph y = f (x) and the m-axis for a: in [0, 1] using points mo = 0, ml = 0.25, 1:; = 0.5, 1:3 = 0.75, I4 = 1. If L4 and R4 denote the left and the right endpoint approximations respectively, please enter L4 R4 as your answer in decimal form with three signicant digits after the decimal point. QUESTION 9 Let f (3:) = 22:2 1. Find the left and the right endpoint approximations of the area A (R) of the region R bounded by the graph y = f (I) and the z-axis for :r: in [1, 4] using points 1:0 = 1, I1 = 1.5, 1:2 = 2, :93 = 2.5, m4 = 3, $5 = 3.5, and me = 4- If L3 and R5 denote the left and the right endpoint approximations respectively, please enter R5 - L5 as your answer. QUESTION 10 Find the following sum 15 Eat3). i=1 As your answer, please input the value of the sum

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