Greens theorem and geometric form

nameVoid
Messages
238
Reaction score
0
<y-ln(x^2+y^2),2arctan(y/x)>
region : (x-2)^2+(y-3)^2=1 counter clockwise
taking int int dQ/dx - dP/dy dA leads to -int int dA here my text is showing the next step as a solution of -pi not sure ..polar cords ext..
 
Physics news on Phys.org
What is the geometric form of the interior of the curve (x-2)^2+(y-3)^2=1? What is its area?
 
not sure what you mean
 
Well what object or region does your

\iint dA

compute the area of? You need to know this in order to compute the integral.
 
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