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AP® Calculus AB-BC

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Moderate

Finding a Point on a Differential Equation's Curve

APCALC-YV3KBV

At each point $(x, \, y)$ on a certain curve, the slope of the curve is $x^2 y^2$.

If $y = \cfrac{1}{9}$ when $x=2$, what is $y$ when $x=-1$?

A

$-\cfrac{3}{34}$

B

$\cfrac{1}{12}$

C

$\cfrac{251}{72}$

D

$-\cfrac{35}{72}$