Explore BrainMass

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

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}


Solution Preview

Hello and thank you for posting your question to Brainmass!

The solution is ...

Solution Summary

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