Question: 14. Let D = {(x, y) E R2 : 0 14. Let D e R2 S In(2), (a) Sketch the region D. (b) Evaluate the

14. Let D = {(x, y) E R2 : 0

14. Let D e R2 S In(2), (a) Sketch the region D. (b) Evaluate the integral T S y :r}, and f (x, y) dydx. [2 marks] [3 marks] (c) Approximate .f@, y) by a Taylor polynomial of second-degree at P = (O, O). [6 marks] (d) Evaluate the integral of the Taylor polynomial obtained in part (c) at the region D. Obs: In(2) 36/25, 52/25, 1/3, 3/13, 156/25. [4 marks]

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