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Question 1. Consider the double integral [5 marks] I = − √ Z 3 −2 dx √ 4−x2 Z 0 f(x, y) dy + Z 0 − √ 3 dx 2− √ 4−x2 Z 0 f(x, y) dy. (a) Sketch the region of integration (by hand or using technology); (b) Write down the integral with reversed order of integration. Question 2. Find the area of the region bounded by the following curves, [5 marks] x 2 + y 2 = 12, xp 6 = y 2 , (x ≥ y 2 / p 6). Sketch ...

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Tags: Australia  Queensland  Central Queensland University (CQU) Algebra and calculus Algebra and calculus 


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