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Find the Centroid of the Region Bounded by the Graphs y=15x2,y=3xy = 15 - x ^ { 2 } , \quad y = 3 - x

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Find the centroid of the region bounded by the graphs of the given equations.
y=15x2,y=3xy = 15 - x ^ { 2 } , \quad y = 3 - x


Definitions:

Brightness Constancy

The human visual system's ability to perceive objects as having a constant brightness even when lighting conditions change.

Perceptual Constancy

The psychological feature that enables individuals to perceive objects as unchanged despite variations in the viewing conditions like lighting, angle, or distance.

Binocular Disparity

The difference in image location of an object seen by the left and right eyes, resulting from the eyes’ horizontal separation; the basis of stereopsis or depth perception.

Atmospheric Perspective

A technique in art and visual perception, creating the illusion of depth by portraying distant objects as paler, less detailed, and usually bluer than nearer objects.

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