The lesson covers various examples of applied optimization problems. The problems involve finding the maximum or minimum value of a given objective function, subject to a constraint or set of constraints. The problems are solved using calculus techniques, such as finding critical numbers, determining concavity, and using optimization formulas. The examples include finding the dimensions of a rectangle inscribed in a parabolic region, finding the dimensions of an aquarium with minimal surface area, finding the height and radius of a cone that can contain a sphere with minimal volume, and finding the point on a curve closest to the origin.
Several example problems of applied optimization.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.