Step 1:

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

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Graph the curves $\"\"$ and $\"\"$ .

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$\"\"$

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Observe the graph:

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The points of intersection are $\"\"$ and $\"\"$ .

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Step 2 :

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The area between the curves is symmetrical about the y - axis.

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Thus, area of the region is $\"\"$ .

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Observe the graph :

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Upper curve is $\"\"$ .

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Lower curve is $\"\"$ .

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Since we are only using the positive side of $\"\"$ , consider $\"\"$ as $\"\"$ .

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The boundaries are $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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Area of the region enclosed by the curves is 0.583 sq-units.

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Solution:

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Area of the region enclosed by the curves is 0.583 sq-units.

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Step 1:

\

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

\

Graph the curves $\"\"$ and $\"\"$ .

\

$\"\"$

\

Observe the graph:

\

The points of intersection are $\"\"$ and $\"\"$ .

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Rewrite the curve equations.

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$\"\"$ .

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$\"\"$ .

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Step 2 :

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The area of the region is $\"\"$ .

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$\"\"$

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Area of the region enclosed by the curves is 10.667 sq-units.

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Solution:

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Area of the region enclosed by the curves is 10.667 sq-units.