Unit 8: Applications of Integration

Let [math] be the region bounded by [math] and [math].

Region [math] is bounded by [math], [math], and [math].

The base of a solid is the region bounded by [math] and the x-axis.

The rate at which customers enter a store is modeled by [math] customers per hour for [math] hours (store opens at [math]).

Let [math] be the region bounded by [math], [math], and [math].

Let [math] and [math] on [math].

Two particles move along the x-axis. Particle A has velocity [math] and starts at position [math]. Particle B has velocity [math] and starts at [math].

The graph of [math] on [math] consists of a semicircle of radius 2 centered at [math] (above the x-axis) and a line segment from [math] to [math].

Region [math] is bounded by [math], [math], and [math].

A tank has a cross-section that can be modeled as the region between [math] and [math] (in feet). The tank is 10 feet long.