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Observe that f(x) = 7e* is nonnegative and continuous on [0, 6]. We can approximate the area of the region under the curve by a
Observe that f(x) = 7e"* is nonnegative and continuous on [0, 6]. We can approximate the area of the region under the curve by a Riemann sum. We first partition [0, 6] into 3 subintervals of equal length Ax = _, where a, b are the endpoints of the interval and n is the number of subintervals used in the n approximation. Find Ax. Ax = _ b - a = 2v $ 2 Thus, the three subintervals are which of the following? O [o, 2], [3, 4], [5, 6] [0, 2], [2, 4], [4, 6] O [o, 2], [2, 5], [5, 6] O [o, 1], [2, 4], [4, 6] O [0, 1], [2, 4], [5, 6] Part 2 of 4 Since we are using right endpoints, the x-value of the representative point of the first subinterval is * 1 = 2 2 Using Ax and x, find the x-values of the other two representative points in their corresponding subintervals. *2 = X1 + Ax = 4 4 $ 4 *3 = X2+ Ax = 6 6 Part 3 of 4 Using f(x) = 7e-* , find the three exact values f(2), f(4), and f(6). f(2) -2 e X F( 4 ) = f(6) =
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