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Use 1he gures to calculate the left and right Riemann sums for l on the given interval and the given value of n. 3 f(x)
Use 1he gures to calculate the left and right Riemann sums for l on the given interval and the given value of n. 3 f(x) = I on [1.5]: n =4 012345 012345 The left Riemann sum for l is . (Round to two decimal places as needed) Complete the following steps lor the given function, interval. and value at n. a. Sketch the graph of the tunction on the given interval. b. Calculate Ax and the grid points x0, x1, ..., X\". c. Illustrate the left and right Riemann sums, and determine which Riemann sum underestimates and which sum overestimates the area under the curve. at. Calculate the lett and right Riemann sums. f(x) = 2x2 + 4 on [2.7]: n = 5 3. Sketch the graph of for) : 2x2 + 4 on the interval [2, 7]. Choose the correct graph below. O A. O B. . _ 210 Y Q 11 v Q 11 V Q 11 y Q Q Q Q Q 0 " l3 0 " l3 0 ./ " l3 0 X L' c a c a c a p a Complete the following steps tor the given function, interval. and value at n. a. Sketch the graph of the tunction on the given interval. b. Calculate Ax and the grid points x0, x1, ..., X\". c. Illustrate the midpoint Riemann sum by sketching the appropriate rectangles. d. Calculate the midpoint Riemann sum. 2 f(x) 2 I on [1.6]; n 2 5 2 a. Sketch the graph of f(x) : E on the interval [1,6]. Choose the correct graph below. O A. O c. o o. 2.5 y Q 2.5 Y Q 1.25 y 0' k e. 6. Q B " F3 D " I3 0 k X I3 0 8 0 E D 8 Express the following sums using sigma notation. a. 2+3+4+5+6 b. 8 + 16+24 + 32 + 40 + 48 c. 1 +2 +37+47 1 1 1 1 d. - + 3 + 4 5 + 6 5 a. 2+3+4+5+6= >] k = 1Evaluate the following expressions. 17 6 7 a. > k b. _ (3k + 2) c. _ k2 d. _ (3+n2) k =1 k =1 k =1 n =1 4 4m + 4 5 5 6 nx e. > 5 f. _ (5j -7) g. _ k(8k + 5) h. _ sin 2 m= 1 j = 1 k = 1 n= 0 17 Z k= (Type an integer or a simplified fraction.) k = 1
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