$\"\"$

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The equations are $\"\"$ and $\"\"$ .

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(a)

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Graph the equations $\"\"$ and $\"\"$ .

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$\"\"$

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Observe the graph:

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The equations of the curves have intersections at $\"\"$ and $\"\"$ .

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Area of the region bounded by $\"\"$ and $\"\"$ is from $\"\"$ to $\"\"$ .

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$\"\"$

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(b)

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Find the points of intersection.

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$\"\"$ and $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The two curves are symmetric about $\"\"$ -axis and $\"\"$ on interval $\"\"$ .

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The area between two curves is $\"\"$ .

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By the property of symmetry of integrals,

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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(c)

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Find area bounded by the curves using graphing utility.

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$\"\"$

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Observe the graph:

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The area bounded between two curves is $\"\"$ .

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$\"\"$

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(a) Graph of the equations $\"\"$ and $\"\"$ .

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$\"\"$

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(b) $\"\"$ .

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(c) The area bounded between two curves is $\"\"$ .