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
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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
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]
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