Question: 1. [Total marks: 10) Consider the integral, HE 15x + My dxdy where E is the region bounded by the parabola, y2 = 8x and

1. [Total marks: 10) Consider the integral, HE 15x + My dxdy where E is the region bounded by the parabola, y2 = 8x and the line x = 8. a. Sketch the graph of this region (or use Mathematica) [2 marks] b. Write the integral in the following form and hence evaluate it: [4 marks] o. By changing the order of integration, write the integral in the alternative form 1:381:31? 35x + My dxdy and show that it evaluates to the same answer you got in the previous part. [4 marks]

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