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How to eliminate the parameter 't' to find the Cartesian equation?
Solve one parametric equation for 't', then substitute into the other equation.
How to find the coordinates of a point on a parametric curve at a specific value of 't'?
Substitute the value of 't' into both parametric equations: x = f(t), y = g(t).
How to determine the start and end points of a parametric curve?
Use the domain restrictions on 't'. Plug the minimum and maximum values of 't' into the equations to find the (x, y) coordinates.
What does the direction of motion on a parametric curve indicate?
Indicates how the (x, y) coordinates change as the parameter 't' increases. Counterclockwise or clockwise.
What is a parameter in parametric equations?
A third variable (often 't') used to define both x and y coordinates: x = f(t), y = g(t).
What are parametric functions?
A way to describe curves and surfaces in a 2D space using a set of equations with a third variable (parameter).
What does the domain of a parametric function define?
The range of values for the parameter 't', which determines the start and end points of the curve.