Find the Coordinates of the Centroid for the Region Bounded $y = 4 x ^ { 2 } , x = 0$

question 137

Short Answer

Find the coordinates of the centroid for the region bounded by the curves $y = 4 x ^ { 2 } , x = 0$ , and $y = 144$ .

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Definitions:

Throne Of Wisdom

A symbolic representation of the Virgin Mary in Christian iconography, depicting her as the seat of wisdom with the Christ Child on her lap.

Sedes Sapientiae

Latin, “throne of wisdom.” A Romanesque sculptural type depicting the Virgin Mary with the Christ Child in her lap.

Byzantine Theotokos

A representation of the Virgin Mary (Theotokos, or God-bearer) in Byzantine art, often depicted enthroned and holding the Christ Child, symbolizing her role as the Mother of God.

Cluniac Order

A medieval monastic movement that began in the 10th century, centered around the Abbey of Cluny, known for its emphasis on liturgy and scholarship.