All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info
Home > Just Math > Calculus
Sooner or later, all math leads to Calculus, no matter how much we would like to beleive that isn't true. Here's our Calc section... Brush up on your college math, pull out a your dusty textbook and get comfy.
An ant starts at the origin of the coordinate plane. The ant only has enough energy to walk for 10 units along either the x- or y-axis before stopping. These lines are the two ant highways.

However, if it goes off the highway, more energy is needed for the same distance. That is, the further the ant deviates, the greater the energy consumption, as represented by the factor 1+0.4d, where d is the distance to the nearest highway. For example, if the ant is 1 unit away from the nearest highway, it uses 1.4 times the energy on the highway to walk 1 meter.

What is the area of the set of points the ant can reach before getting tired and stopping?

(No Solution Yet, 9 Comments) Submitted on 2018-08-24 by Jer   
Page 1 of 10   next >>    
Difficulty: 3 of 5Roll away |
Posted on 2018-08-15 by Jer (No Solution Yet, 4 Comments)
Difficulty: 3 of 5When polynomial and trigo unite! |
Posted on 2018-04-24 by Danish Ahmed Khan (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Find a Few Functions |
Posted on 2018-04-15 by Larry (No Solution Yet, 3 Comments)
Difficulty: 3 of 5A better approximate Pythagorean Theorem |
Posted on 2017-02-08 by Jer (No Solution Yet, 1 Comments)
Difficulty: 3 of 5The Almost Pythagorean Theorem |
Posted on 2017-02-03 by Jer (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Sphere-Cone |
Posted on 2016-12-25 by Bractals (Solution Posted, 2 Comments)
Difficulty: 2 of 5composite function | Rating: 3.00
Posted on 2016-11-29 by Danish Ahmed Khan (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Sum ArcTan Limit | Rating: 4.00
Posted on 2016-05-11 by K Sengupta (No Solution Yet, 6 Comments)
Difficulty: 3 of 5Quartic Questions |
Posted on 2016-04-13 by Brian Smith (Solution Posted, 2 Comments)
Difficulty: 3 of 5A Non-Reintersecting Tangent |
Posted on 2016-02-24 by Brian Smith (Solution Posted, 1 Comments)
Difficulty: 4 of 5Protecting the fleet Part E. | Rating: 4.00
Posted on 2015-12-23 by Jer (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Expression Ratio Limit |
Posted on 2015-10-22 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Factorial Ratio Sum Puzzle |
Posted on 2015-08-04 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Derivative Point Determination |
Posted on 2015-01-08 by K Sengupta (No Solution Yet, 0 Comments)
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information