Greens theorem and geometric form

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Homework Help Overview

The discussion revolves around Green's theorem and its application to a specific region defined by the equation (x-2)²+(y-3)²=1. Participants are exploring the geometric interpretation and area calculation of this region.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply Green's theorem to a region defined by a circular boundary and questions the resulting area calculation. Other participants inquire about the geometric form of the region and the implications for the area integral.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the geometric interpretation of the region and the meaning of the integral involved. Some guidance is offered regarding the need to understand the region to compute the area accurately.

Contextual Notes

There is uncertainty regarding the area calculation and the interpretation of the integral in relation to the defined region. The original poster references a potential solution from their text, which may not align with the current understanding of the problem.

nameVoid
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<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..
 
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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.
 

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