Question

These coordinates give a parameterization of a curve. Express the coordinates we found as parametric functions x(t) and y(t). Here, the parameter is "t." Describe the geometric meaning of the parameter t in this construction. For specificity, I'll refer to this curve as E for the rest of these questions.

Answer 1

The coordinates can be expressed as parametric functions x(t) = 1300 + 46t - 25t^2 and y(t) = 3120 - 28t. The parameter t represents time, describing the position of the curve at different points in time.

Step-by-step explanation:

To express the coordinates as parametric functions x(t) and y(t), we can use the given equations:

x = 1300 + 46t - 25t^2

y = 3120 - 28t

The parameter t represents time in seconds. In this context, t is used to describe the position of the curve E at different points in time. As t increases, the curve E moves along the x and y axes according to the parametric equations.