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10.6E: Ulinganifu wa parametric (Mazoezi)

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    178502

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    Kwa mazoezi yafuatayo, ondoa parameter\(t\) kuandika upya equation parametric kama equation Cartesian.

    44. \(\left\{\begin{array}{l}x(t)=3 t-1 \\ y(t)=\sqrt{t}\end{array}\right.\)

    45. \(\left\{\begin{array}{l}x(t)=-\cos t \\ y(t)=2 \sin ^{2} t\end{array}\right.\)

    46. Parameterize (kuandika equation parametric kwa) kila equation Cartesian kwa kutumia\(x(t)=a \cos t\) na\(y(t)=\mathbf{b} \sin t\) kwa\(\frac{x^{2}}{25}+\frac{y^{2}}{16}=1\)

    47. Parameterize mstari kutoka (-2,3) hadi (4,7) ili mstari upo (-2,3)\(t=0\) na (4,7) katika\(t=1\).