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If the family of curves is given by y = k/x, what type of curves does it represe
If the family of curves is given by y = k/x, what type of curves does it represent?
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Q1
If the family of curves is given by y = k/x, what type of curves does it represent?
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The equation y = k/x represents a family of hyperbolas.
Questions & Step-by-step Solutions
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Q: If the family of curves is given by y = k/x, what type of curves does it represent?
Solution:
The equation y = k/x represents a family of hyperbolas.
Steps: 5
Show Steps
Step 1: Identify the equation given, which is y = k/x.
Step 2: Recognize that 'k' is a constant that can take different values.
Step 3: Understand that for different values of 'k', the shape of the curve changes but follows the same general form.
Step 4: Recall that the equation y = k/x is a standard form of a hyperbola.
Step 5: Conclude that as 'k' varies, the curves represent different hyperbolas.
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