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:

Schwann Cells

A type of glial cell that wraps around nerve fibers in the peripheral nervous system, forming the myelin sheath that aids in the fast conduction of electrical signals.

Afferent Neurons

Nerve cells that carry sensory information from the body's organs and tissues toward the central nervous system.

Reticular Formation

A network of nerve pathways in the brainstem involved in consciousness, the sleep-wake cycle, and filtering sensory information before it reaches higher brain centers.

Hippocampus

A critical region of the brain involved in the formation of new memories and is associated with learning and emotions.