Mathematics Homework Solutions
Problem
#2312

Working with iteration to develop a formula.

A single line divides a plane into two regions. Two lines (by crossing) can divide a plane into four regions, three lines can divide it into seven regions. Let psubn be the max number of regions into which n lines divide a plane where n is a positive integer.


Solution Summary

A single line divides a plane into two regions. Two lines (by crossing) can divide a plane into four regions, three lines can divide it into seven regions. Let psubn be the max number of regions into which n lines divide a plane where n is a positive integer.

Solution
What is this?
By OTA - Overall OTA Rating
Adriana Rincon, MS - 4.5/5
Purchase Cost Now
$2.19 CAD (was ~$7.98)
Included in Download
  • Plain text response
$2.19 Instant Download
Add to Cart
Why you can trust BrainMass.com
  • Your Information is Secure
  • Best Online Academic Help Service
  • Students find real academic Success
Related Solutions
  • Proof by Mathematical Induction : Planes, Lines and Regions - Suppose that n straight lines in the plane are positioned so that no two are parallel an no three pass throught the same point. Show that they divide the plane into 1/2(n^2 + n + 2) distinct regions.
  • Graphs and Their Representations - If all the nodes of a simple, connected, planar graph have degree 4 and the number of arcs is 12, into how many regions does it divide the plane?
  • Calc problems - 1. Find the intersection point of the line (x-1)/2=(y+1)/3=z-2 and the plane 2x+y-z=17. 2. Find the distance from point Q(1,-2,3) to the plane 2x-y-z=6. Need steps and solutions.....Thanks!
  • Calc problems - 1. Find an equation for the line passing through the points P(1,-1,1) and Q(3,1,-2). 2. Find an equation for the plane containing pts. P(1,0,0), Q(0,-1,0), and R(0,0,-1). Need steps and solutions. ...
  • At what point Q does this line intersect the yz-plane - A) Find the parametric equations for the line through the point P = (3, -4, 0) that is perpendicular to the plane 2x + 0y+ 5z = 1 Use "t" as your variable, t = 0 should correspond to P, and the veloc ...
Browse