The Curve with the Equation $x ^ { 2 / 3 } + y ^ { 2 / 3 } = 25$

question 51

Essay

The curve with the equation $x ^ { 2 / 3 } + y ^ { 2 / 3 } = 25$ is called an asteroid. Find an equation of the tangent to the curve at the point $( 48 \sqrt { 6 } , 1 )$ .

---

Definitions:

Rational Self-Control

The ability to regulate one's emotions, thoughts, and behaviors in a way that is consistent with long-term goals and societal norms.

Libido

A term used in psychoanalytic theory to describe the energy created by sexual instincts and desire.

Superego

A component of Sigmund Freud's psychoanalytic theory, representing the moral conscience and ideals of society in the individual's personality.

Psychodynamic Theories

Theories that explain behavior and personality in terms of unconscious energy dynamics within the individual.