Question: QUESTION 1 (17 marks) Given that . P is the region bounded by the lines x = 2, x =0, y=4, and y= x', .

QUESTION 1 (17 marks) Given that . P is the region bounded by the lines x = 2, x =0, y=4, and y= x', . O is the region bounded by the lines x = 2, x =0, y=4-x, and the x - axis. (a) Describe each of the above regions by using inequalities where both the limits of y are constants. (4 marks) (b) By using the limits in (a), determine the value of the following integrals: () If edxdy (6 marks) (ii) -dxdy 4-y (6 marks) b) Elaborate the meaning of the values obtained in (b). (1 mark)
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