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 4 of 10   << prev next >>    
Difficulty: 2 of 5Limiting Mean |
Posted on 2010-03-07 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 2 of 5Eccentric Integral |
Posted on 2010-02-18 by K Sengupta (No Solution Yet, 2 Comments)
Difficulty: 2 of 5Getting Natural With Derivative And Integral |
Posted on 2010-02-11 by K Sengupta (No Solution Yet, 4 Comments)
Difficulty: 2 of 5Simply Sliced Sine |
Posted on 2010-01-26 by K Sengupta (Solution Posted, 1 Comments)
Difficulty: 2 of 5Delicate Derivative Derivation | Rating: 2.00
Posted on 2009-12-18 by K Sengupta (Solution Posted, 2 Comments)
Difficulty: 3 of 5A Normal and a Parabola |
Posted on 2009-12-02 by Brian Smith (Solution Posted, 4 Comments)
Difficulty: 3 of 5Rooting For The Limit II |
Posted on 2009-11-26 by K Sengupta (Solution Posted, 4 Comments)
Difficulty: 3 of 5Getting Powerful With Euler II |
Posted on 2009-11-10 by K Sengupta (Solution Posted, 4 Comments)
Difficulty: 2 of 5Worldly Integral |
Posted on 2009-09-15 by K Sengupta (Solution Posted, 1 Comments)
Difficulty: 4 of 5Random x Random | Rating: 4.00
Posted on 2009-08-17 by Jer (No Solution Yet, 1 Comments)
Difficulty: 2 of 5Getting Powerful With Euler |
Posted on 2009-07-28 by K Sengupta (Solution Posted, 3 Comments)
Difficulty: 2 of 5Colorful Integral |
Posted on 2009-07-06 by K Sengupta (Solution Posted, 4 Comments)
Difficulty: 2 of 5Getting Natural With Sine |
Posted on 2009-05-19 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 2 of 5Dimensions of a box |
Posted on 2009-05-15 by pcbouhid (Solution Posted, 3 Comments)
Difficulty: 3 of 5Derivative chains. |
Posted on 2009-03-29 by Jer (No Solution Yet, 6 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 (4)
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