S. S dady. (i) Sketch the region of integration. (ii) Change the order of integration and, hence, evaluate the integral.
Posted: Thu Jun 02, 2022 12:13 pm
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