Find roster form of the given Set

  • Thread starter Thread starter Murtuza Tipu
  • Start date Start date
  • Tags Tags
    Form Set
Murtuza Tipu
Messages
47
Reaction score
2
Let B be the non empty sets,
B ={(x,y):y = e^x, x belongs to set of real numbers}
Write the set in roster form.
 
Physics news on Phys.org
By "roster form" you mean a listing of all members, right? You understand there are not only an infinite number but an uncountable number of members in this set, don't you. So you cannot "list" them even in principle (as, for example, {(1, 1), (2, 4), (3, 9), ...}). That's pretty much what "uncountable" means.
 
@Hallsoflvy Yes roster method means to list all the element in curly brackets.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top