Consider the Following Objective Function and Constraint: C(x) = 2x12

question 47

Multiple Choice

Consider the following objective function and constraint: C(x) = 2x12 - 15x + 3x23 - 9x2 + 30, such that x1 = 3x2. Which of the following is the correct Lagrangian function?

• A) L = 2x₁² - 15x + 3x₂3 - 9x₂ + 30 - ? (3x₂ - x1)
• B) L = 2x₁² - 15x + 3x₂3 - 9x₂ + 30 - ? (x₂ - 3x1)
• C) L = 2x₁² - 15x + 3x₂3 - 9x₂ + 30 - ? (3x₁ - x2)
• D) L = 2x₁² - 15x + 3x₂3 - 9x₂ + 30 - ? (3x₂ - 3x₁)

Identify and differentiate between primary and social motives.

Recognize the significance of instinct, drive, and incentive theories in explaining human behavior.

Comprehend the role of ethology in understanding behavioral adaptations.

Understand the relationship between fear, affiliation, and birth order.

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Definitions:

Chemical Digestion

The breakdown of food into smaller molecules by enzymes and acids in the digestive system.

Proteins

Large molecules made up of amino acids that play many critical roles in the body, including in the structure, function, and regulation of the body's tissues and organs.

Stomach

Tubular, muscular organ that functions in chemical and mechanical digestion.

Peristalsis

Wavelike smooth muscle contractions that propel food through the digestive tract.