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Misal $\\ell$ adalah kurva yang terbentuk dari perpotongan dua buah tabung $x^2+y^2=25$ dan $y^2+z^2=20$ pada oktan pertama.

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Kurva $\\ell$ dapat dituliskan dalam bentuk berparameter $x(t)=a\\cos(t)$, $y(t)=b\\sin(t)$, $z(t)=\\sqrt{c+d\\sin^2(t)}$ dengan $a+b+c+d=\\ldots$.

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Pada parametrisasi sebelumnya, titik $(3,4,2)$ berada pada $t$ dengan $\\sin(2t)=\\ldots$.

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Persamaan garis singgung kurva $\\ell$ pada titik $(3,4,2)$ adalah $x(t)=3+at$, $y(t)=4+bt$, dan $z(t)=2+ct$ dengan nilai $a$, $b$, dan $c$ berturut-turut adalah $\\ldots$.

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