kieamBtaha kieamBtaha

13-07-2016
Mathematics

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The table below gives values of f(x,y), the number of milligrams of mosquito larvae per square meter in a swamp.. x=0x=2x=4. y=0136. y=3259. y=64814. If x and y are in meters and R is the rectangle 0≤x≤4, 0≤y≤6, estimate ∫Rf(x,y)dA.. . ∫Rf(x,y)dA≈ . (Include units in your answer.) . Hint: Evaluate the Riemann sums using the lower left corners and upper right corners. Then take the average of the two Riemann sums..

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meerkat18 meerkat18

19-07-2016

We are given with the following data. We are asked to determine the area of the object plotted. In this case, we can use average the polygons that are recognizable:

upper sum = (5 + 9 + 15 + 9)(12) = 456
lower sum = (1 + 2 + 5 + 3)(12) = 132

The average is 0.5*(456+132) = 294 units^2

This is just an approximation

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