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Question 4: [40 marks] Consider the double integral V = 4r tang dA over the region D enclosed between the lines: Ours3/2coso, Osos x/2. a)

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Question 4: [40 marks] Consider the double integral V = 4r tang dA over the region D enclosed between the lines: Ours3/2coso, Osos x/2. a) Reduce the integral to the repeated integral and show limits of integration. [12 marks] c) Calculate the integral and present your answer in the exact form. [28 marks] Rubric: 12 marks if the double integral is reduced to the repeated integrals correctly; 2 marks if the inner integration was correct; 8 marks if substitution of limits was correct; 8 marks if function of @ was correctly simplified; 8 marks if the outer integration was correct; 1 mark if limit substitution was correct; 1 mark if the result was properly presented with two significant figures

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