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$$ SCALCET$93\mathrm{.}9\mathrm{.}010.$

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If $x^2{y}^2{z}^2=9,\frac{dx}{dt}=4,$ and $\frac{dy}{dt}=5,$ find $\frac{dz}{dt}$ when $(x,y,z)=(2,2,1).$

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$7.[-/1$ Points$]$

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SCALCET$93\mathrm{.}9\mathrm{.}011.$