$\text { Determine the } t \text { intervals on which the curve } x = 7 t ^ { 2 } , y = \ln t \text { is concave downward }$

question 33

Multiple Choice

$\text { Determine the } t \text { intervals on which the curve } x = 7 t ^ { 2 } , y = \ln t \text { is concave downward }$ or concave upward.

• A) concave downward: \(- \infty < t < 0\); concave upward: \(0 < t < \infty\)
• B) concave downward: \(0 < t < \infty\); concave upward: \(- \infty < t < 0\)
• C) concave downward: \(- \infty < t < \infty\)
• D) concave upward: \(0 < t < \infty\)
• E) concave downward: \(0 < t < \infty\)

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Definitions:

Instinct

An innate, typically fixed pattern of behavior in animals in response to certain stimuli.

Fixed Behavior Pattern

An innate, pre-programmed response observable within a species to specific environmental stimuli.

Instincts

Inherent inclinations toward a particular behavior that are often unlearned and present in many animals, including humans.

Social Disequilibrium

A state where there is an imbalance or disruption in the social fabric, often leading to conflicts and changes.