SOLUTION: Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval. Give thr

Algebra ->  Finance -> SOLUTION: Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval. Give thr      Log On


   

Question 1029380: Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval. Give three decimal places in your answer.
Explain, using a graph of f(x), what the Riemann sum in Question #1 represents.
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

represents the sum of the 6 rectangles below:



Now we simplify the sum:

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%22%22=%22%22

%22%22=%22%22

%22%22=%22%22

%22%22=%22%22

%22%22=%22%22

%22%22=%22%22

%22%22=%22%22

%22%22=%22%22

%22%22=%22%22

%22%22=%22%22

expr%281%2F16%29%2A%28-23-40-45-32%2B5%2B72%29%22%22=%22%22

expr%281%2F16%29%2A%28-63%29%22%22=%22%22

-3.9375

Three decimal places

-3.938

Edwin