Lesson: Optimization: Applications on Extreme Values Mathematics • Higher Education
In this lesson, we will learn how to apply derivatives to real-world problems to find the maximum and the minimum values of a function under certain conditions.
Find two numbers whose sum is 156 and the sum of whose squares is the least possible.
Find the maximum area of a rectangular piece of land that can be surrounded by a fence that is 12 meters long.
A rectangular-shaped playground ends in two semicircles. Given that the perimeter of the playground is 594 m, determine its maximum area.