$\text { A point is moving along the graph of the function } y = \frac { 1 } { 9 x ^ { 2 } + 4 } \text { such that } \frac { d x } { d t } = 2$

question 80

Multiple Choice

$\text { A point is moving along the graph of the function } y = \frac { 1 } { 9 x ^ { 2 } + 4 } \text { such that } \frac { d x } { d t } = 2$ centimeters per second. Find $\frac { d y } { d t }$ when $x = 2$ .

• A) \(\frac { d y } { d t } = - \frac { 9 } { 5 }\)
• B) \(\frac { d y } { d t } = \frac { 9 } { 200 }\)
• C) \(\frac { d y } { d t } = \frac { 9 } { 400 }\)
• D) \(\frac { d y } { d t } = - \frac { 9 } { 400 }\)
• E) \(\frac { d y } { d t } = - \frac { 9 } { 200 }\)

Analyze the effects of social influences on decision making and behavior in various contexts.

Distinguish between different social psychology experiments and their purposes relating to conformity and obedience.

Explain the role of cognitive dissonance in behavior and attitude change.

Understand the influence of minority versus majority positions on group dynamics and individual decisions.

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Definitions:

Quantity Supplied

The amount of a good or service that producers are willing and able to sell at a given price over a specified period.

Commodity

A basic good used in commerce that is interchangeable with other goods of the same type.

Grain Surplus

An excess amount of grain production over the demand, leading to stored or wasted grain.

Market Economy

An economic system where decisions regarding investment, production, and distribution are based on supply and demand, and prices of goods and services are determined in a free price system.