Find the Orthogonal Trajectories of the Family of Curves $$y = ( x + k ) ^ { - 8 }$$

question 55

Short Answer

Find the orthogonal trajectories of the family of curves.
$$y = ( x + k ) ^ { - 8 }$$

---

Definitions:

Jealous Feelings

Emotions that arise from perceived threats to a valued relationship or position, often involving fear and anger.

Social Comparison

The process of evaluating oneself in relation to others, often to assess one's abilities, appearance, or social status.

File Clerk

A file clerk is an administrative professional responsible for managing and organizing documents and records in an office setting.

Rapid-Fire Decisions

Quick decision-making processes, often made with little deliberation.