Suppose that y varies inversely with the square root of x and y=50 when x=4, how do you find y when x=5?
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To find y when x=5, we can use the inverse variation equation. First, we need to find the constant of variation (k) by substituting the given values into the equation.
y = k / √x
Substituting y=50 and x=4 into the equation:
50 = k / √4
Simplifying:
50 = k / 2
Multiplying both sides by 2:
100 = k
Now that we have the constant of variation (k), we can find y when x=5 by substituting the values into the equation:
y = k / √x
Substituting k=100 and x=5:
y = 100 / √5
Simplifying:
y = 100 / √5
Therefore, when x=5, y is approximately equal to 44.72.
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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.
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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