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

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To find the coordinates of the centroid of a uniform lamina enclosed by the curve y=1-x^2 in the first quadrant, it's essential to determine the limits of integration. The region of interest is bounded by the curve and the x and y axes. The limits for x will range from 0 to the x-value where the curve intersects the axis, which can be found by solving the equation. Clarification on the limits is crucial since previous questions provided them, but this one specifies the first quadrant. Understanding these boundaries will facilitate the calculation of the centroid's coordinates.
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?
 
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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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