# The cube root of x varies inversely as the square of y. If x=27 when y=4 how do you find the value of x when y=6?

To find the value of x when y=6, we can use the inverse variation formula. The cube root of x varies inversely as the square of y can be expressed as:

∛x = k/y^2

where k is the constant of variation.

To solve for k, we can substitute the given values x=27 and y=4 into the equation:

∛27 = k/4^2

Simplifying, we have:

3 = k/16

Multiplying both sides by 16, we get:

k = 48

Now, we can use this value of k to find x when y=6:

∛x = 48/6^2

Simplifying, we have:

∛x = 48/36

Cubing both sides, we get:

x = (48/36)^3

Evaluating this expression, we find:

x ≈ 2.37

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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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