Suppose that R=[(x,y):0≤x≤4,0≤y≤4], and P is the partition of R into four equal squares by the lines x=2 and y=2. If f(x
Posted: Thu Jul 14, 2022 4:25 pm
Suppose that R=[(x,y):0≤x≤4,0≤y≤4], and P is the partition of R into four equal squares by the lines x=2 and y=2. If f(x,y)=x2+5y2, approximate ∫Rf(x,y) dA, by calculatiang the Riemann sum k=1∑4f(xk,yˉk)ΔAk. assuming that (xˉk,yk) are the centers of the four squares.