(f) [2 pts] Suppose that fluid concrete is being poured into a square pit wh ch
ID: 3198703 • Letter: #
Question
(f) [2 pts] Suppose that fluid concrete is being poured into a square pit wh ch occupies the region R = [0,4] × [0,4] in the xy- the lower left corner and then it slowly fills the pit. contour diagram of the height of concrete. plane. The concrete is poured at The figure below shows a 0 0 We want an estimate for the volume of concrete using a double Riemann sum for a subdivision of R into smaller squares. To get an upper estimate we have to choose sample points to be ? upper right corner, D lower left corners, O upper left corners, D lower right corners.Explanation / Answer
To get an upper estimate, for every smaller square we have to choose the corner with the greatest height.
Since the concrete is being poured at the lower left corner, then lower left corners will have the greatest height.
Answer: lower left corners
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