# What the is the polar form of #y = x^2y-x/y^2 +xy^2 #?

Note that

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To find the polar form of the given Cartesian equation (y = x^2y - \frac{x}{y^2} + xy^2), we need to express (x) and (y) in terms of (r) and (\theta), where (r) is the distance from the origin and (\theta) is the angle from the positive x-axis.

Using the relationships (x = r \cos(\theta)) and (y = r \sin(\theta)), we substitute these into the given equation:

[y = (r\cos(\theta))^2(r\sin(\theta)) - \frac{r\cos(\theta)}{(r\sin(\theta))^2} + (r\cos(\theta))(r\sin(\theta))^2]

Now, simplify this expression.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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