In: Advanced Math
Please show picture over a rectangle.
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}.