Personality encompasses an individual's distinctive patterns of thinking, feeling, and behavior. It is shaped by a combination of biological, psychological, and social influences.
Factors Influencing Personality:
1. Heredity: Genetic factors significantly impact personality traits such as temperament, emotional stability, and intelligence.
2. Environment: Social surroundings, cultural context, and upbringing play a vital role in personality development. Family interactions and educational experiences help shape an individual’s behavior.
3. Experiences: Personal experiences, including life events and challenges, contribute to the evolution of personality. Both positive and negative experiences influence confidence, resilience, and outlook on life.
4. Social Relationships: Interactions with family, friends, colleagues, and others affect personality. Group dynamics and social acceptance influence behavior and self-esteem.
5. Culture and Society: Societal norms, values, and traditions shape how individuals think and act. Different cultures foster unique personality traits and behaviors. Personality is a dynamic and evolving component of human nature, influenced by both inherent traits and external experiences. Understanding personality is essential for self-awareness, career decisions, and interpersonal relationships.
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.
Solve the following L.P.P. by graphical method:
Maximize:
\[ z = 10x + 25y. \] Subject to: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]