# If y varies inversely as X^2 and X = 9 when y = 64, how do you find the value of y when x = 4?

To find the value of y when x = 4, we can use the inverse variation equation.

First, we need to determine the constant of variation, denoted as k.

Given that y varies inversely as x^2, we can write the equation as y = k/x^2.

To find k, we can substitute the given values of x and y into the equation.

When x = 9 and y = 64, we have 64 = k/9^2.

Simplifying, we get 64 = k/81.

To solve for k, we can multiply both sides of the equation by 81, resulting in 5184 = k.

Now that we have the value of k, we can substitute it back into the inverse variation equation.

Thus, when x = 4, y = k/4^2 = 5184/16 = 324.

Therefore, when x = 4, y = 324.

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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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