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a) Let f(x,y) = 2sin(πx)−3cos(πy). Calculate Uf(P) and Lf(P)over the partition P = {1,1.5,2}×{2,2.5,3}.
b) Explain what techniques would be necessary to calculate Uf(P)and Lf(P) for f(x,y) = 2sin(x)−3cos(y) over the partition P ={1,1.5,3}×{2,2.5,3}.
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