$[-/2$ Points$]$

SCALCET$93\mathrm{.}9.$

Suppose $4x^{2}16y^2=100,$ where $x$ and $y$ are functions of $t.$

$($a$)$ If $\frac{dy}{dt}=\frac{1}{4},$ find $\frac{dx}{dt}$ when $x=3$ and $y=2.$

$\frac{dx}{dt}=$

$$

$($b$)$ If $\frac{dx}{dt}=4,$ find $\frac{dy}{dt}$ when $x=-3$ and $y=2.$

$\frac{dy}{dt}=$

$$

Need Help? $$