Find the Center of Mass of a Thin Plate of Constant

question 221

Multiple Choice

Find the center of mass of a thin plate of constant density covering the given region.
-The region between the $x$ -axis and the curve $y = 5 \csc ^ { 2 } x , \frac { \pi } { 4 } \leq x \leq \frac { 3 \pi } { 4 }$

• A) \(\bar { x } = \frac { 3 \pi } { 8 } , \bar { y } = \frac { 20 } { 3 }\)
• B) \(\bar { x } = \frac { \pi } { 2 } , \bar { y } = \frac { 15 } { 2 }\)
• C) \(\bar { x } = \frac { \pi } { 2 } , \bar { y } = 5\)
• D) \(\bar { x } = \frac { \pi } { 2 } , \bar { y } = \frac { 10 } { 3 }\)

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Pituitary Gland

A small, pea-sized gland located at the base of the brain, responsible for releasing hormones that regulate various bodily functions.

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A term often used to describe the pituitary gland due to its role in controlling several other hormone-secreting glands.

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