Key Term: y = g(t)
Definition
Definition: In calculus, y = g(t) represents a function where the value of y depends on the value of t. It is a way to express how one quantity changes with respect to another.
Analogy
Analogy: Think of y as your bank account balance and t as time. Just like your bank account balance can change over time due to deposits or withdrawals, the value of y in the function can change based on different values of t.
Related terms
- Dependent variables: These are variables that depend on other variables for their values. In this case, y is the dependent variable because its value depends on the value of t.
- Independent variable: This is a variable that stands alone and does not depend on any other variable for its value. In this case, t is the independent variable because its value can be chosen freely without depending on any other variable.
- Function: A function is a relationship between two sets of numbers, where each input (independent variable) corresponds to exactly one output (dependent variable). The equation y = g(t) represents a function because for every value of t, there is only one corresponding value of y.
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