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Let \"\" be a point on the \"\".

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(a) Express the distance \"\" from \"\" to the point \"\" as a function of \"\".

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\"\"

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\"\"

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Substitute \"\" in \"\".

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\"\"

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\"\"

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\"\".

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(b) Graph the function \"\".

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Graph of \"\":

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\"\"

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(c) For what values of  \"\" is \"\" smallest ?

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Plot the local minimum point on the graph of \"\".

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\"\"

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Observe the graph:

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The local minimu point at \"\".

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\"\" is smallest when \"\".

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(a) \"\".

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(b) Graph of \"\":

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\"\"

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(c)  \"\" is smallest when \"\".