Question$$0 \leq t \leq 4 \text {. }$$
2. Find the corresponding rectangular equation of the following parametric equations: a. $x=2 t-3, y=3 t+1$ b. $x=t^{3}, y=\frac{t^{2}}{2}$ c. $x=\sec \theta, y=\cos \theta$

Studdy Solution
Substitute $\cos \theta = \frac{1}{x}$ into the equation for $y$:
$$y = \cos \theta$$ $$y = \frac{1}{x}$$
The corresponding rectangular equations are: a. $y = \frac{3x + 11}{2}$ b. $y = \frac{x^{2/3}}{2}$ c. $y = \frac{1}{x}$