Sketch the region bounded by the given curves, then find the centroid of its area. 1. y = x², y = 2x

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A: Draw the given curves to obtain the region.

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A: a). Newton's Method :-  

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A: For the solution of the problem follow the next step.

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A: General solution to the differential equation

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A: Solution

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A: Please post the multiple parts separately.I answered here first three sub parts as per our policy.

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A: According to our guideline we can answer only one question and rest can be reposted.

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Q: 2. Use Parseval's formula and a suitable Fourier series to sum 2n=1 (2n–1)? · 1 Hint: Look at Table ...

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