$\"\"$

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The function is $\"\"$ and the interval is $\"\"$ .

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Graph :

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Graph the function $\"\"$ :

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$\"\"$

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Observe the graph :

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Green colour curve represents the function.

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Plue colour represents the length of the curve over the interval $\"\"$ .

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$\"\"$

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(b)

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Definition of Arc Length:

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Let the function given by $\"\"$ represent a smooth curve on the interval $\"\"$ .

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The arc length of $\"\"$ between $\"\"$ and $\"\"$ is $\"\"$ .

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Consider $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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

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$\"\"$ .

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$\"\"$

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(c)

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The arc length is $\"\"$ .

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Consider the integrand $\"\"$ .

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Graph the function $\"\"$ on $\"\"$ .

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$\"\"$

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Observe the graph:

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$\"\"$ .

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Therefore, the arc length is about $\"\"$ units.

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$\"\"$

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(a)

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Graph of the function $\"\"$ is

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$\"\"$

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(b) $\"\"$ .

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(c) Using integration capabilities of graphing utility, the length of the arc is about $\"\"$ units.