S. S dady. (i) Sketch the region of integration. (ii) Change the order of integration and, hence, evaluate the integral.

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S S Dady I Sketch The Region Of Integration Ii Change The Order Of Integration And Hence Evaluate The Integral 1 (85.72 KiB) Viewed 35 times

S. S dady. (i) Sketch the region of integration. (ii) Change the order of integration and, hence, evaluate the integral. [4 marks] [6 marks] (b) Consider the parallelogram P bounded by y = x+1, y=3(x−1), y = z and y=3z in the first quadrant (see picture below). Evaluate the integral [(y-7)(y - 3x)dady 2 after taking the change of coordinates · (u, v) with r = u− v and y = 3u — v. [10 marks] Total: 20 marks 7. (a) Consider the integral e