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(1 point) The table below gives values of f (x, y), the number of milligrams of mosquito larvae per square meter in a swamp. If
(1 point) The table below gives values of f (x, y), the number of milligrams of mosquito larvae per square meter in a swamp. If x and y are in meters and R is the rectangle 0 S x 310,0 5 y g 12, estimate fR f(x, y)dA. Update: by dividing the swamp into four rectangles, first consider a lower bound L. Next consider an upper bound U. Report your answer as the average (L + U)/2. fR f(x,y)dA m (Include units in your answen) (1 point) Let R be the rectangle with vertices (0, 0), (2, 0), (2, 2), and (0, 2) and let f (x, y) = V2xy. (a) Find reasonable upper and lower bounds for R f dA without subdividing R. upper bound = lower bound = (b) Estimate / f d A three ways: by partitioning R into four subrectangles and evaluating f at its maximum and minimum values on each subrectangle, and then by considering the average of these (over and under) estimates. overestimate: JR f dA ~ underestimate: JR f dA ~ average: JR f dA ~
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