$\"\"$

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The density function of Lamina is $\"\"$ .

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The region bounded by the lamina are $\"\"$ .

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The lamina mass can be defined as $\"\"$ .

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Region bounded:

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Equate $\"\"$ and $\"\"$ .

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$\"\"$

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Region bounded by the density function is $\"\"$ and $\"\"$ .

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$\"\"$

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Evaluate the mass of lamina $\"\"$ .

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$\"\"$ (Since $\"\"$ )

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$\"\"$

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The mass of the lamina is $\"\"$ .

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$\"\"$

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Centre of mass of the lamina :

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Centre mass of the lamina can be defined as

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$\"\"$

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Where $\"\"$ ,

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$\"\"$ ,

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and $\"\"$ is mass of lamina : $\"\"$ . $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Centre of mass of the lamina : $\"\"$ .

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$\"\"$

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$\"\"$

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The mass of the lamina is $\"\"$ .

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Centre of mass of the lamina : $\"\"$ .