Find the Absolute Maxima and Minima of the Function on the Given

question 281

Multiple Choice

Find the absolute maxima and minima of the function on the given domain.
-f(x, y) = 4x + 3y on the trapezoidal region with vertices (0, 0) , (1, 0) , (0, 2) , and (1, 1)

• A) Absolute maximum: 6 at (0, 2); absolute minimum: 0 at (0, 0)
• B) Absolute maximum: 7 at (1, 1); absolute minimum: 0 at (0, 0)
• C) Absolute maximum: 8 at (2, 0); absolute minimum: 4 at (1, 0)
• D) Absolute maximum: 7 at (1, 1); absolute minimum: 4 at (1, 0)

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Definitions:

Durkheim

Émile Durkheim, a French sociologist known for his foundational contributions to the field of sociology, including his theories on social cohesion and the function of religion in society.

Collective Identity

A sense of belonging and shared characteristics that unify a group, distinguishing them from other groups.

Symbolic Interactionists

Sociologists who focus on the symbolic meaning that individuals assign to objects, events, and behaviors in social interactions, shaping society through interpretation.

Primary Labour Market

The sector of the job market that offers high-paying jobs, stable employment, good working conditions, and opportunities for advancement.