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What is the term for a situation where the relation between two variables is expressed using a third variable?
What is the term for a situation where the relation between two variables is expressed using a third variable?
- Parametric relation (correct)
- Implicit relation
- Direct relation
- Inverse relation
In the context of parametric relations, what is the role of the third variable?
In the context of parametric relations, what is the role of the third variable?
- It has no role in the relation
- It is the dependent variable
- It is the independent variable
- It establishes a link between the two variables (correct)
How do we express the relation between two variables in parametric form?
How do we express the relation between two variables in parametric form?
- $x = f(y), y = g(x)$
- $x = t, y = t$
- $x = f(t), y = g(t)$ (correct)
- $x = f(x), y = g(y)$
What happens when the relation between two variables is expressed via a third variable?
What happens when the relation between two variables is expressed via a third variable?
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Study Notes
Parametric Relations
- The term for a situation where the relation between two variables is expressed using a third variable is called parametric relation.
Role of the Third Variable
- In the context of parametric relations, the third variable acts as a parameter, which helps to express the relationship between the two original variables.
Expressing Relations in Parametric Form
- To express the relation between two variables in parametric form, we introduce a third variable t (parameter) and define each of the original variables as a function of t.
Characteristics of Parametric Relations
- When the relation between two variables is expressed via a third variable, it means that the relationship between the original variables is indirect, and the third variable serves as a bridge to connect them.
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