Parametric Equations with Calculus

Parametric

A set of functions linked by one or more independent variables (called the parameters). While normal function only yields out the path, parametric function will yield out path, but not only the path, direction and speed is constructed by the new t value of time.

Concept

Definition and Formula for Parametric/polar/vector Functions

Displacement and Distance with Parametric Equations and Vectors

Convert of Polar and Rectangular Coordinates and Equations

Shape of Polar Equation Graph

Area of Polar Graph (more to add)

Movement in Polar Form Graph

Vector-Valued Function

Tips

Co-terminal angle with in polar form

How to Graph Parametric Equation Without Calculators

Horizontal and Vertical Tangent with parametric

• at time t=0 when $\theta =0$ when $t=0 + \frac {dr} {dt}=\frac {dr}{d\theta}$

Prob 1 U9 Cal

Prob 2 U9 Cal

Prob 3 U9 Cal