$\"\"$

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(a)

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The function is $\"\"$ , $\"\"$ .

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Apply first derivative with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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Apply second derivative with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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(b)

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If we have to find out the relative extrema by equating $\"\"$ .

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$\"\"$

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Using graphing utility relative extremas are $\"\"$ and $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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The relative extrema points are $\"\"$ and $\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Point	$\"\"$	$\"\"$
Sign of $\"\"$	\ $\"\"$ \	\ $\"\"$ \
Conclusion	Relative maximum	Relative minimum

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To determine the points of inflection, equate $\"\"$ .

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$\"\"$

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Using graphing utility inflection points are $\"\"$ and $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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Therefore inflection points are $\"\"$ and $\"\"$ .

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$\"\"$

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(c)

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Sketch the function $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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(a) $\"\"$ .

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$\"\"$ .

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(b)

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Relative maximum is $\"\"$ .

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Relative minimum is $\"\"$ .

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Inflection points are $\"\"$ and $\"\"$ .

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(c)

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$\"\"$ .