3. a. Given f(x,y)=x² + y on the rectangle R={(x,y)|0≤x≤2,0 ≤ y ≤ 2}. (i) Find the exact values of volume by using the R
Posted: Tue Jul 12, 2022 12:41 pm
3. a. Given f(x,y)=x² + y on the rectangle R={(x,y)|0≤x≤2,0 ≤ y ≤ 2}. (i) Find the exact values of volume by using the Riemann sum with 9 equal subrectangles. Use the upper right corners, Uƒ(P) of each rectangle as the sample points. (ii) (iii) Evaluate the double integral fff(x,y)dª. R Hence, interpret the accuracy results. [7 marks] [5 marks] [1 mark]