Question

Calculate the left Riemann sum for the given function over the given interval, using the given value of n. (When rounding, round your answer to four decimal places. places.) HINT [See Example 2.] f(x) = 27x2 over [-2, 2], n = 4 Need Help? Read It Watch It Talk to a Tutor -/1 points WANEAC7 6.3.007.MI. Calculate the left Riemann sum for the given function over the given interval, using the given value of n. (When rounding, round answers to four decimal places. If us places.) HINT (See Example 2.] F(X) = over [0, 1], n = 5 Need Help? Read It Master It Talk to a Tutor -/1 points v WANEAC7 6.3.010. Calculate the left Riemann sum for the given function over the given interval, using the given value of n. (When rounding, round your answer to four decimal places. places.) HINT (See Example 2.] f(x) = e-* over [-3, 3), n = 3

Answer 1

o f(x) = 27x* [-2, 23, n = 4 Lett Riemann sun: taldea an (+(x) + f(x) + 24(x2) + ... + (x-2) + f(x ) Ax = 0 a= -2, b=2, nau - 2-(-2) = 1 Divide the Interval [-2,2] in to n=4 subinterays of length Ax=/ az [-2,-1], [,0], [0, 1],[1,2] = b f(0) = f(0) = f(-2) = 108 f = f(t) = 27 f(x = f(0) = 0 +(x) = +1 = 27 - 1 (188+ 27 +0+47) = [1627 . *(x) = 3 [0, 1], nasa Ax= 100 - 3 Divide the Interval [0,13 in to nas subinterrass of length Dx² / a= [0, 1], [ 23] . [ 33, 3 ] [ 4 ] [ 4/3, 1] = b. tao) = f(a) = f(0) = 3. +(2.) = f(s) = = 25 +(x) = + = = 2.14285 +(23) = +(3) = 15 = 1.875 f(x) = + (4) = 5 = 1.6666 = (3 + 2-5 + 2.14285 + (-875 +1. 666) 12.2369047

of length ax=2 two ex [-33], n=3 Axban - on= 3-(-3) = 2 Divide Interval [-3,3] In to na3 subintervals a = [-3,-1], [1,1], [13] = b f (xo) = f(a) = f(-3) - a 20.0855369 f(x1) = f(t) = e = 2.7182818 f(x) = f(1) = è = 0.367879 = 2 (20.0855369 + 2.7182818 + 0.367879) 46.343396385