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khutch2212
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The equation y = x2 describes a parabola. Find the x and y coordinates of the centroid of the area bounded by this curve, and the line y = 10m
The centroid of a parabola is the point where all the mass of the parabola is evenly distributed. It is also known as the center of mass or center of gravity.
The centroid of a parabola can be calculated using the formula (2/3)*a, where 'a' is the distance from the vertex to the focus of the parabola.
The centroid of a parabola is important because it helps in determining the stability and balance of the parabola. It is also used in various applications such as engineering, physics, and mathematics.
The axis of symmetry is the line that divides the parabola into two equal halves. Since the centroid is located on the axis of symmetry, it means that the parabola is balanced and has equal mass on both sides.
No, the centroid of a parabola will always be located within the parabola. This is because the centroid represents the center of mass, and all the mass of the parabola is within its boundaries.