Question: A table of values is given for a function f(x,y) defined on R=[1,3][0,4].table[[,0,1,2,3,4],[1.0,2,0,-3,-6,-5],[1.5,3,1,-4,-8,-6],[2.0,4,3,0,-5,-8],[2.5,5,6,3,-1,-4],[3.0,7,8,6,3,0]](a) Estimate 2f(x,y)dA using the Midpoint Rule with m=n=2.(b) Estimate the double integral
A table of values is given for a function f(x,y) defined on R=[1,3][0,4].\table[[,0,1,2,3,4],[1.0,2,0,-3,-6,-5],[1.5,3,1,-4,-8,-6],[2.0,4,3,0,-5,-8],[2.5,5,6,3,-1,-4],[3.0,7,8,6,3,0]](a) Estimate 2f(x,y)dA using the Midpoint Rule with m=n=2.(b) Estimate the double integral with m=n=4 by choosing the sample points to be the points farthest from the origin.
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