Coordinates of the centroid of the lamina - problem with finding limits

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Homework Help Overview

The problem involves finding the coordinates of the centroid of a uniform lamina enclosed by the curve y=1-x^2, specifically within the first quadrant defined by the x-axis and y-axis.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to determine the limits for the given equation. Some participants inquire about the method being used and suggest clarifying the setup of the problem.

Discussion Status

The discussion is ongoing, with participants exploring the interpretation of the problem's constraints. There is an indication that the limits may relate to where the curve intersects the axes, but no consensus has been reached on the exact approach to take.

Contextual Notes

Matthias85
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Homework Statement


The question asks me to find the coordinates of the centroid of a uniform lamina enclosed by curve y=1-x^2.
X axis and Y axis are in the 1st quadrant.

Can you please tell me how to work out the limit for this equation?
 
Last edited:
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Hi Matthias85! :wink:

Show us what method you're using, and where you're stuck, and then we'll know how to help! :smile:
 
Thanks for quick reply.
I am not using any method as I have no idea how to workout limits.

Previous question gave me limits, this says that x-axis and y-axis are in the 1st quadrant instead.
 
Matthias85 said:
The question asks me to find the coordinates of the centroid of a uniform lamina enclosed by curve y=1-x^2.
X axis and Y axis are in the 1st quadrant.
Matthias85 said:
Previous question gave me limits, this says that x-axis and y-axis are in the 1st quadrant instead.

ah, no, that doesn't make sense :redface:

i think it must mean "the region under y=1-x2 and in the first quadrant" (so its other two edges are the x and y axes) …

so the limits are from x (or y) = 0 to where that curve crosses the axis :wink:​
 

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