WRONG ANSWERS:
-5.677015
-5.667014
Consider the given function If fix) = ex-6, 0 points to be midpoints 2, find the Riemann sum with n = 4 correct to six decimal places, taking the sample Step 1 We must calculate Ma = ã rx;) ÎÏ = [rx1)-mx2) + fix3)-nx4)] ÎÏ, where X1, X2, X3, and X4 represent the midpoints of four equal sub-intervals of [0, 2] Since we wish to estimate the area over the interval [O, 2] using 4 rectangles of equal widths, then each rectangle will have width ÎÏ = L 2 Step 2 We wish to find Ma-L)M-11+ 2) + r%)-maji Since X1, X2, X3, and x4 represent the midpoints of the four sub-intervals of [0, 2], then we must have the following 3/4 Step 3 Using f(x) - e - 6, we have the following 7/4 Ma = (4) (e1/4-6) + (e3/4-6) + (e5/4-6) + =-5.677014 | X (rounded to six decimal places)
Show transcribed image text Consider the given function If fix) = ex-6, 0 points to be midpoints 2, find the Riemann sum with n = 4 correct to six decimal places, taking the sample Step 1 We must calculate Ma = ã rx;) ÎÏ = [rx1)-mx2) + fix3)-nx4)] ÎÏ, where X1, X2, X3, and X4 represent the midpoints of four equal sub-intervals of [0, 2] Since we wish to estimate the area over the interval [O, 2] using 4 rectangles of equal widths, then each rectangle will have width ÎÏ = L 2 Step 2 We wish to find Ma-L)M-11+ 2) + r%)-maji Since X1, X2, X3, and x4 represent the midpoints of the four sub-intervals of [0, 2], then we must have the following 3/4 Step 3 Using f(x) - e - 6, we have the following 7/4 Ma = (4) (e1/4-6) + (e3/4-6) + (e5/4-6) + =-5.677014 | X (rounded to six decimal places)