Graph the plane curve formed by the parametric equations and indicate its orientation.
$x (t) = 2 t - 1$ ; $y (t) = 2 \sqrt{t}$
$t is greater than or equal to 0$

14–18. Parametric descriptions Write parametric equations for the following curves. Solutions are not unique.

The segment of the curve x=y ³ +y+1 that starts at (1, 0) and ends at (11, 2).

14–18. Parametric descriptions Write parametric equations for the following curves. Solutions are not unique.

The circle x ² + y ² =9, generated clockwise

Air drop—inverse problem A plane traveling horizontally at 100 m/s over flat ground at an elevation of 4000 m must drop an emergency packet on a target on the ground. The trajectory of the packet is given by

x = 100t, y = −4.9t² + 4000, t ≥ 0

where the origin is the point on the ground directly beneath the plane at the moment of the release. How many horizontal meters before the target should the packet be released in order to hit the target?

Graph the plane curve formed by the parametric equations and indicate its orientation.

$x (t) = - t + 1$ ; $y (t) = t^{2}$

$negative 2 is less than or equal to t is less than or equal to 2$

Eliminate the parameter to rewrite the following as a rectangular equation.

$x\left(t\right)=2t-1$

$y\left(t\right)=t^5-2$

First eliminate the parameter, then graph the plane curve of the parametric equations.

$x\left(t\right)=2+\cos t$ , $y (t) = - 1 + \sin t$ ; $0\le t\le2\pi$

Write parametric equations for the rectangular equation below.

$x^2+y^2=25$

11–14. Working with parametric equations Consider the following parametric equations.

a. Make a brief table of values of t, x, and y.

b. Plot the (x, y) pairs in the table and the complete parametric curve, indicating the positive orientation (the direction of increasing t).

x=2 t,y=3t−4;−10≤d≤10