Newton's Law of Cooling States That the Rate of Cooling $160 ^ { \circ } \mathrm { F }$

question 140

Multiple Choice

Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. Suppose that a roast turkey is taken from an oven when its temperature has reached $160 ^ { \circ } \mathrm { F }$ and is placed on a table in a room where the temperature is $60 ^ { \circ } \mathrm { F }$ . If $u ( t )$ is the temperature of the turkey after $t$ minutes, then Newton's Law of Cooling implies that
$$\frac { d u } { d t } = k ( u - 60 )$$
This could be solved as a separable differential equation. Another method is to make the change of variable $y = u - 60$ . If the temperature of the turkey is $150 ^ { \circ } \mathrm { F }$ after half an hour, what is the temperature after $35 \mathrm {~min}$ ? Select the correct answer.

• A) \(t = 143 ^ { \circ } \mathrm { F }\)
• B) \(t = 148 ^ { \circ } \mathrm { F }\)
• C) \(t = 298 ^ { \circ } \mathrm { F }\)
• D) none of these
• E) \(t = 95 ^ { \circ } \mathrm { F }\)

Analyze how changes in the money supply affect demand, value of money, and economic equilibrium.

Explain how inflation affects savings, interest rates, and economic decisions.

Understand the quantity theory of money and its implications on the economy.

Differentiate between nominal and real variables and their significance in economic analysis.

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