Eliminate the Parameter to Find a Cartesian Equation of the Curve

question 17

Short Answer

Eliminate the parameter to find a Cartesian equation of the curve.
$$x = e ^ { 4 t } - 5 , \quad y = e ^ { 8 t }$$

---

Definitions:

Self-Fulfilling Prophecy

An expectation that comes true because of the tendency of the person holding it to act in ways that bring it about.

Self-Efficacy

The belief in one's capabilities to organize and execute the courses of action required to manage prospective situations.

Mastery Goal

An objective focused on developing competence or mastering a skill rather than comparing oneself to others.

Approach Goal

A goal that an individual is actively working towards, often characterized by the pursuit of positive outcomes or experiences.