Functions Involving Parameters, Vectors, and Matrices

How would parametric functions represent x and y?

How do we describe the path traced out by a particle following the parametric equations $x = \cos(t)$ and $y = \sin(t)$?

What do you need to find in order to create a table that will help you graph a set of parametric equations?

For a projectile modeled by parametric equations $x(t) = v_{0} \cos(\theta)t$ and $y(t) = v_{0} \sin(\theta)t - \left( \frac{g}{2} \right)t^{2}$, where $g$ represents gravity, what affects the time it takes for the projectile to reach maximum height?

If a particle follows the path described by the parametric equations $x(t) = e^{t}$ and $y(t) = \ln(t)$, what is an expression for $y$ as a function of $x$ assuming all relevant values are within domain restrictions?

What is the first step to eliminate the parameter in the parametric equations $x = 3t + 2$ and $y = 2t - 5$?

If a parameter 't' in a parametric function is described as being continuous, what type of number must 't' be?

What kind of motion does the parametric equations $X = \\cos(t)$, $y = \\sin(t)$ represent?

If the position of an object is given by parametric equations $x(t)=\sin(t)+\cos(t)$ and $y(t)=\sin(t)-\cos(t)$, what is $\frac{dy}{dx}$ at time $t=\frac{\pi}{4}$?

When translating between Cartesian equations and parametric forms, which element is typically replaced with expressions involving 't'?