Finding coordinates of the centroid

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Homework Help Overview

The problem involves finding the coordinates of the centroid for a region bounded by the curves y=1/x, y=0, x=1, and x=2. Participants are exploring the concept of the centroid in the context of this specific area.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are discussing the definition of the centroid, with some suggesting it relates to the center of mass. There is a call for more detailed work to be shown in the problem-solving process.

Discussion Status

The discussion is ongoing, with participants questioning the definition of the centroid and suggesting that a foundational understanding is necessary before proceeding. There is no explicit consensus yet on the approach to take.

Contextual Notes

There is a request for more detailed work, indicating that participants may be looking for clarity on the steps involved in finding the centroid. The original poster's initial visual estimation is noted but not elaborated upon.

SUchica10
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Sketch the region bounded by the curves and visually estimate the location of the centroid. Then find the exact coordinates of the centroid.

y=1/x, y=0, x=1, x=2
 
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(show more work)

what's your definition of the centroid?
 
I am thinking it is the center of mass.
 
As robphy said, start with a definition.
 

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