A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50 feet. So, it forms a region R bounded by the graph of x2 + y2 = 502 with x ≥ 0 and y ≥ 0. The following equations are models for the floor and ceiling. Floor: z = x + y /5 Ceiling: z = 20 + xy/100 Calculate the volume of the room, which is needed to determine the heating and cooling requirements.

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Q: A new auditorium is built with a foundation in the shape of one-fourth of a circle of radius 50…

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x² – c² and y = c² – x? is…

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A: We can help you with the question. I am not sure how to help you with its attachments.

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