The following warnings occurred:
Warning [2] count(): Parameter must be an array or an object that implements Countable - Line: 795 - File: showthread.php PHP 7.4.33 (FreeBSD)
File Line Function
/showthread.php 795 errorHandler->error

 Brain Teaser - Minimum distance between two curves
11-18-2015, 04:35 PM (This post was last modified: 11-18-2015 04:41 PM by CR Haeger.)
Post: #1
 CR Haeger Member Posts: 275 Joined: Dec 2013
Brain Teaser - Minimum distance between two curves
Finding the point on a curve closest to a fixed point off the curve seems to be fairly straightforward and often can be solved by hand. Finding the points on each of two curves which are closest seems to be a bit more involved.

Problem: What points on each of the two curves f(x) = x^2+1 and g(x) = √(x) are closest to each other?

I worked this one mainly by hand, then used the HP Prime CAS when things got messy (and they did for me). Can you solve this by hand, by CAS, programming or other methods?
 « Next Oldest | Next Newest »

 Messages In This Thread Brain Teaser - Minimum distance between two curves - CR Haeger - 11-18-2015 04:35 PM RE: Brain Teaser - Minimum distance between two curves - Vtile - 11-18-2015, 05:50 PM RE: Brain Teaser - Minimum distance between two curves - Gerald H - 11-18-2015, 06:18 PM RE: Brain Teaser - Minimum distance between two curves - Vtile - 11-18-2015, 06:24 PM RE: Brain Teaser - Minimum distance between two curves - Jonathan Cameron - 11-18-2015, 06:40 PM RE: Brain Teaser - Minimum distance between two curves - CR Haeger - 11-18-2015, 07:06 PM RE: Brain Teaser - Minimum distance between two curves - Jonathan Cameron - 11-18-2015, 11:47 PM RE: Brain Teaser - Minimum distance between two curves - Vtile - 11-18-2015, 07:23 PM RE: Brain Teaser - Minimum distance between two curves - Werner - 11-18-2015, 10:19 PM RE: Brain Teaser - Minimum distance between two curves - CR Haeger - 11-19-2015, 12:30 AM RE: Brain Teaser - Minimum distance between two curves - Thomas Klemm - 11-21-2015, 01:46 AM RE: Brain Teaser - Minimum distance between two curves - Jonathan Cameron - 11-21-2015, 05:37 PM RE: Brain Teaser - Minimum distance between two curves - Bunuel66 - 11-21-2015, 09:39 PM RE: Brain Teaser - Minimum distance between two curves - quinyu - 01-02-2016, 06:14 PM RE: Brain Teaser - Minimum distance between two curves - Pekis - 01-12-2016, 09:40 AM

User(s) browsing this thread: 1 Guest(s)