Cylindrical Co-ordinate Question

  • Thread starter Thread starter ZedCar
  • Start date Start date
  • Tags Tags
    Cylindrical
ZedCar
Messages
353
Reaction score
1

Homework Statement


In a textbook it states:

-((4-x^2)^0.5) <= y <= ((4-x^2)^0.5)

And this is the same as being bounded by the circular region x^2 + y^2 <= 4

How do they conclude this?

Thank you.

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
ZedCar said:

Homework Statement


In a textbook it states:

How do they conclude this?

Thank you.

Homework Equations



The Attempt at a Solution

If |u| ≤ a, where a is positive, then -a ≤ u ≤ a .
 
Thanks SammyS
 
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