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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=0 x=2 x=4 y=0 1 3 6 y=3 2 5 9 y=6 4 8 14 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. I keep getting 56 with a delta x of 4/3 and delta y of 2.
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