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point) Calculate a Riemann sum S3,3 on the square R = [0,3] x [0,3] for the function g(x, y) = f(x, y) +5. The
point) Calculate a Riemann sum S3,3 on the square R = [0,3] x [0,3] for the function g(x, y) = f(x, y) +5. The contour plot of f(x, y) is shown in Figure 4. Choose sample points and use the plot to find the values of f(x, y) at these points. Use the values of f(x, y) to evaluate g(x, y) accordingly. 3- P P P 31 2 B 0 32 FIGURE 4 Contour plot of f(x, y). S3,3= The table below gives values of f(x, y), the number of milligrams of mosquito larvae per square meter in a swamp. x=0x=4x 8 y=0 y=5 4 y= 10 369 12 6 10 15 105 If x and y are in meters and R is the rectangle 0 x8,0 y 10, estimate ff f(x, y)dA. SR f(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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