Rewrite the following parametric equations in rectangular form.

x=e^3t

y=e^-t

To solve this problem you must apply the proccedure shown below:

1. You have the following parametric equations given in the problem above:

x=e^3t

y=e^-t

2. Therefore, you must solve fot et in the second equation, as below:

y=e^-t

y=1/e^t

e^t=1/y

3. Substitute into the first equation:

x=e^3t

x = (e^t) ^3

x = (1/y) ^3

x=1/y^3 (y>0)

The answer is: x=1/y^3 (y>0)