The Temperature of a Cup of Coffee Obeys Newton's Law $150 ^ { \circ } \mathrm { F }$

question 40

Multiple Choice

The temperature of a cup of coffee obeys Newton's law of cooling. The initial temperature of the coffee is $150 ^ { \circ } \mathrm { F }$ and one minute later, it is $135 ^ { \circ } \mathrm { F }$ . The ambient temperature of the room is $70 ^ { \circ } \mathrm { F }$ . If $T ( t )$ represents the temperature of the coffee at time t, the correct differential equation for the temperature with side conditions is

• A) \(\frac { d T } { d t } = k ( T - 135 )\)
• B) \(\frac { d T } { d t } = k ( T - 150 )\)
• C) \(\frac { d T } { d t } = k ( T - 70 )\)
• D) \(\frac { d T } { d t } = T ( T - 150 )\)
• E) \(\frac { d T } { d t } = T ( T - 70 )\)

Recognize the significance of the hypothalamus in hunger and eating behaviors.

Understand the impact of external injuries on brain functionality and structural integrity.

Understand the causes and consequences of key conflicts and treaties in the 18th century.

Analyze the ideologies and political theories relevant to the 18th century, including mercantilism and the concept of balance of power.

---

Definitions:

Barry Goldwater

An American politician, businessman, and author who was a five-term Senator from Arizona and the Republican Party's nominee for President in 1964.

Domestically

Pertaining to activities, affairs, or products within one's own country, as opposed to international or foreign.

Internationally

Pertaining or relating to interactions or relations between nations; worldwide in scope or application.