Find the Mass and Center of Mass of the Lamina $\rho = k$

question 101

Multiple Choice

Find the mass and center of mass of the lamina bounded by the graphs of the equations given below for the given density. $\rho = k$
$y = \sqrt { A ^ { 2 } - x ^ { 2 } } , y = 0$

• A) Mass \(= \frac { 1 } { 2 } A ^ { 2 } k , \bar { x } = 0 , \bar { y } = \frac { 4 A } { 3 \pi }\)
• B) Mass \(= \frac { 1 } { 2 } A ^ { 2 } k \pi , \bar { x } = 0 , \bar { y } = \frac { 4 A } { 3 }\)
• C) Mass \(= \frac { 1 } { 2 } A ^ { 2 } k \pi , \bar { x } = 0 , \bar { y } = \frac { 4 A } { 3 \pi }\)
• D) Mass \(= \frac { 1 } { 2 } A ^ { 2 } k \pi , \bar { x } = \frac { 4 A } { 3 \pi } , \bar { y } = \frac { 4 A } { 3 \pi }\)
• E) Mass \(= \frac { 1 } { 2 } A k \pi , \bar { x } = 0 , \bar { y } = \frac { 4 A } { 3 \pi }\)

Discuss the impact of environmental factors such as media exposure and poverty on cognitive and language development.

Explain the theories of language development, including learning theory, nativist theory, and the effectiveness of baby signing.

Analyze the significance of infant-directed speech and its universality.

Understand the difference between direct observation and reasoning in acquiring knowledge.

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