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Calculating Volumes of Bounded Regions (Curve, Origin and Interval)

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1. Sketch the region bounded between the given curves and then find the area of each region
a) {see attachment}
b) Find the area of the region than contains the origin and is bounded by the line {see attachment}

2. Sketch the given region and then find the volume of the solid whose base is the given region and which has the property that each cross section {see attachment} is a square.
a) The region bounded by the x-axis and the semi-circle {see attachment}
b) The region bounded by {see attachment} and below by the x-axis on the interval {see attachment}

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Volumes of bounded regions are calculated. The solution is detailed and well presented.