Microworld: Shortest Paths : (All-in-One)
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Authors: Kanchan Manaktala and Ravinder Kumar

In this book we explore the concept of shortest distance from a point to both a line and to a curve in general, developed in separate sections. The user is given an opportunity to explore consequences/characteristics of the shortest distance. Shortest distance from a point to a curve is obtained using optimization technique in single variable calculus. Shortest distance from a point to a line is studied using the formula in Cartesian geometry as well as optimization techniques. At the end of each section the user can practice finding shortest distance using well-explained commands by randomly generating problems.

This book may be used for

  1. College Algebra
  2. Pre-Calculus
  3. Calculus I

Authors:

  1. Ravinder Kumar Alcorn State University, Lorman, MS 39096 E-mail: rkumar@lorman.alcorn.edu
  2. Kanchan Manaktala Alcorn State University, Lorman, MS 39096 E-mail: kanchan@lorman.alcorn.edu

Topics: Exploring Shortest Distance, Formula for finding the distance of a point from a line, Finding shortest distance between a point and a curve.

Suggested Use: Analytical Geometry, Application of optimization techniques

Number of Pages: 7
Animation: Yes
Grade Level: 11-13

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