An Offshore Oil Well Is Leaking Oil and Creating a Circular

question 95

Multiple Choice

An offshore oil well is leaking oil and creating a circular oil slick. If the radius of the slick is growing at a rate of 7 miles per hour, find the rate at which the area is increasing when the radius is 3 miles. (The area of a disc of radius r is $A = \pi r ^ { 2 }$ .)

• A) \(\frac { \mathrm { d } A } { \mathrm {~d} t } = 9 \pi \frac { \mathrm { mi } ^ { 2 } } { \mathrm { hr } }\)
• B) \(\frac { \mathrm { d } A } { \mathrm {~d} t } = 14 \pi \frac { \mathrm { mi } ^ { 2 } } { \mathrm { hr } }\)
• C) \(\frac { \mathrm { d } A } { \mathrm {~d} t } = 42 \pi \frac { \mathrm { mi } ^ { 2 } } { \mathrm { hr } }\)
• D) \(\frac { \mathrm { d } A } { \mathrm {~d} t } = 7 \pi \frac { \mathrm { mi } ^ { 2 } } { \mathrm { hr } }\)
• E) \(\frac { \mathrm { d } A } { \mathrm {~d} t } = 21 \pi \frac { \mathrm { mi } ^ { 2 } } { \mathrm { hr } }\)

Understand the significance of emotional stability and expressiveness in interpersonal relationships and personal well-being.

Assess the role of personality traits in academic achievement and workplace success.

Examine the methods researchers use to study emotional and personality traits.

Relate personality variables to health issues beyond the scope of Type A behavior.

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Definitions:

Biological Emphasis

An approach focusing on the genetic, neurological, and physical aspects of behavior and mental processes.

Freudian Theory

A psychological framework developed by Sigmund Freud that emphasizes unconscious motivations and conflicts as drivers of human behavior.

Population Density

The measure of the number of individuals living per unit area, often used to understand how crowded an area is.

Aggressive

Exhibiting behavior characterized by hostility and intent to cause harm or assert dominance over others.