A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 8 – x². What are the dimensions of such a rectangle with the greatest possible area? Width = Height %3D

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A: See answer below.

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Q: (b) Evaluate the given trigonometric integral sin r dx (x² + 1)(x² + 9)

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A: Differential equation

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A: Hi! As per norms, we will be answering only the first question. If you need an answer to other…