- #1
andrewdavid
- 10
- 0
I have x(t)=t(1-t) and y(t)=t(1-t^2). As t goes from 0 to 1 in forms a loop and I need to know the point where the tangent line is vertical. I know this must be easy but I'm clueless right now. Any help?
A parametric expression is a mathematical expression that contains one or more variables, which are typically represented by the letter "t". These variables can be used to represent different values, allowing for a greater range of possible outcomes.
Unlike a regular mathematical expression, a parametric expression does not have a fixed value. Instead, it is a set of equations that can be used to generate a range of values by plugging in different values for the variables. This makes parametric expressions more versatile and useful in many applications.
Parametric expressions are commonly used in fields such as physics, engineering, and computer graphics. They can be used to model the motion of objects, create complex geometric shapes, and generate visual effects in video games and movies.
To graph a parametric expression, you will need to plot the values of the variables on a coordinate plane. Each set of values will represent a point on the graph. By plotting multiple points, you can create a curve or shape that represents the parametric expression.
Yes, parametric expressions can be very useful in solving real-world problems. They can be used to model and predict the behavior of systems and objects, allowing scientists to make informed decisions and improve their understanding of the world around us.