$\"\"$

\

The equation for a lemniscate is $\"\"$ or $\"\"$ .

\

(a)

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The lemniscate is $\"\"$ from end to end.

\

$\"\"$ .

\

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

\

$\"\"$ or $\"\"$

\

$\"\"$ or $\"\"$ .

\

The equations are $\"\"$ or $\"\"$ .

\

$\"\"$

\

(b)

\

The lemniscate is $\"\"$ from end to end.

\

$\"\"$ .

\

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

\

$\"\"$ or $\"\"$

\

$\"\"$ or $\"\"$ .

\

The equations are $\"\"$ or $\"\"$ .

\

$\"\"$

\

(a) $\"\"$ or $\"\"$ .

\

(b) $\"\"$ or $\"\"$ .