1. 0.09/0.5 points| Previous Answers SCalc8 15.1.001.MI.SA. This question has se
ID: 2889418 • Letter: 1
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1. 0.09/0.5 points| Previous Answers SCalc8 15.1.001.MI.SA. This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any po Estimate the volume of the solid that lies below the surface z = xy and above the following rectangle R= (x, y) | 7 x 13, 7 y 11 Exercise (a) Use a Riemann sum with m 3, n 2, and take the sample point to be the upper right corner of each square Step 1 We are requested to use m-3 and n = 2 over the rectangle R- (x, y) | 7 subrectangles are, therefore, as follows x 13, 7 y 11 The rx, y)M, with i=lj = 1 We can estimate the volume of the given solid using the Riemann sum rx, y) = xy Since 7 x 13 and m = 3, then y = |2| v | 21 . Consequently, we have 2, and since 7 Sys11 and n 2, then 4 Step 2 When 1 and j = 1, we are referring to the coordinates of the rectangle in the lower left corner of the grid We are told to use the upper right corner as a sample point. Therefore, for i = 1 and j = 1, the sample point would be (x, y) = i ) Submit Skip (you cannot come back) Exercise (b) Use the Midpoint Rule to estimate the volume of the solid Click here to beginExplanation / Answer
When we take i = 1, j = 1 then that's the first rectangle in the figure. We need to take the upper right corner of the rectangle.
So the x-coordinate = 7 + 2 = 9
y-coordinate = 7 + 2 = 9
Hence the answer is (9, 9)
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