Let $f ( x , y ) = x ^ { 2 } + 3 y ^ { 2 } - 3 x$

question 42

Multiple Choice

Let $f ( x , y ) = x ^ { 2 } + 3 y ^ { 2 } - 3 x$ Find the gradient vector of f at the point (-1, 2) .

• A) \(\nabla f = - 5 \vec { i } - 12 \vec { j }\)
• B) \(\nabla f = - 5 \vec { i } + 24 \vec { j }\)
• C) \(\nabla f = 5 \vec { i } + 12 \vec { j }\)
• D) \(\nabla f = - 5 \vec { i } + 12 \vec { j }\)

---

Definitions:

Sherif's Study

Refers to the social psychology experiments conducted by Muzafer Sherif, particularly known for demonstrating the formation of social norms and group dynamics through the Robbers Cave Experiment.

Pressure of the Group

The social influence exerted by a collective on individual members to conform to the group's norms, values, and behaviors.

Pluralistic Ignorance

A psychological state in which individuals in a group mistakenly believe their thoughts, feelings, or behaviors are different from those of the group, leading to conformity with perceived norms.

Group Members

Individuals who belong to a specific group and contribute to its collective identity, goals, and dynamics.