riemann sum
R = (x, y)|0 = x = 6, 6 = y = 10
Use a Riemann sum with m = 3, n = 2, and take the sample point to be the upper right corner of each square. (please give exact answer)
V = ______
V = ______
Homework Answers
(a) The x-points are 6, 9, 12 and the y-points are 8, 10, 12. This gives 9 points in which there are 4 boxes. The area of each box is mn = 6.
So, V is approximately
6 * [f(9,10) + f(9,12) + f(12,10) + f(12,12)].
(Drawing a grid with the 9 points above will help you get the upper right corners of each box.)
(b) This time, we use the midpoints of each box.
So, V is approximately
6 * [f(7.5, 9) + f(10.5, 11) + f(7.5, 9) + f(10.5, 11)].
I hope this helps!
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