\"\"

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If a smooth parametric surface S is given by the equation \"\"

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and S is covered just once as ranges throughout the parameter domain , then the surface area of S is \"\",

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where \"\".

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\"\"

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Find \"\".

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The parametric equations are \"\".

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The domain is \"\".

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\"\".

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\"\"

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\"\".

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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Thus, \"\".

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\"\"

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\"\".