$\"\"$

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(a).

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The curves are $\"\"$ and $\"\"$ .

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Consider $\"\"$ .

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Squaring on both sides.

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$\"\"$

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Consider $\"\"$ .

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Squaring on both sides.

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$\"\"$

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Adding equations $\"\"$ and $\"\"$ :

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$\"\"$

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Equation of the curve is $\"\"$ .

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$\"\"$

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(b).

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$\"\"$

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$\"\"$

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The interval is $\"\"$ .

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Hence the $\"\"$ -values in the interval $\"\"$ .

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Graph:

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Equation of the curve $\"\"$ .

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$\"\"$

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$\"\"$

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(a).

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Equation of the curve $\"\"$ .

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(b).

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Graph:

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$\"\"$