NUMERICAL, GRAPHICAL, AND ANALYTICAL ANALYSIS A rectangle is inscribed in the region bounded by the -axis, the -axis, and the graph of as shown in the figure. (a) Write the area of the rectangle as a function of (b) Determine the domain of the function in the context of the problem. (c) Create a table showing possible values of and the corresponding area of the rectangle. (d) Use a graphing utility to graph the area function. Use the graph to approximate the dimensions that will produce the maximum area. (e) Write the area function in standard form to find analytically the dimensions that will produce the maximum area.

th Math 340 Lecture – Introduction to Ordinary Differential Equations – April 18 , 2016 What We Covered: 1. Course Content – Chapter 9: Linear Systems with Constant Coefficients a. Section 9.9: Inhomogeneous Linear Systems i. Definition: You’re given the linear equation = + () where f(t) is the inhomogeneous term because it’s not dependent on y ii. Theorem: Suppose that y is p particular solution to the inhomogeneous equation and that 1 2..., frm a fundamental set of solutions to the associated ′ homogeneous equation =