Approximate the double integral of f(x,y)=x+8y over the region R inside the circle (x-3)2+(y-2)² = 1 using the 7 3 5 partitions x = 2, 3, 4 and y=1. 2, 3 with (xYk) the center (centroid) in the kth subrectangle (provided the 2' subrectangle lies within R). The approximate value is

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Approximate the double integral of f(x,y) = x + 8y over the region R inside the circle (x-3)2+(y-2)2 = 1 using the
partitions x = 2, 2, 3, 2, 4 and y = 1, 2, 2, 2, 3 with (X.) the center (centroid) in the kth subrectangle (provided the
subrectangle lies within R).
The approximate value is
Transcribed Image Text:Approximate the double integral of f(x,y) = x + 8y over the region R inside the circle (x-3)2+(y-2)2 = 1 using the partitions x = 2, 2, 3, 2, 4 and y = 1, 2, 2, 2, 3 with (X.) the center (centroid) in the kth subrectangle (provided the subrectangle lies within R). The approximate value is
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