# Is #1/2x + 1/3y = 0# a direct variation and if so what is the constant?

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The equation ( \frac{1}{2}x + \frac{1}{3}y = 0 ) represents a direct variation. The constant of variation ( k ) can be found by isolating ( y ) in terms of ( x ) and then comparing the equation with the standard form ( y = kx ). In this case, after isolating ( y ), we find ( y = -\frac{3}{2}x ), so the constant of variation ( k ) is ( -\frac{3}{2} ).

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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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