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The Temperature of a Cup of Coffee Obeys Newton's Law 150F150 ^ { \circ } \mathrm { F }

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The temperature of a cup of coffee obeys Newton's law of cooling. The initial temperature of the coffee is 150F150 ^ { \circ } \mathrm { F } and one minute later, it is 135F135 ^ { \circ } \mathrm { F } . The ambient temperature of the room is 70F70 ^ { \circ } \mathrm { F } . If T(t) T ( t ) represents the temperature of the coffee at time t, the correct differential equation for the temperature with side conditions is

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Definitions:

Meningeal Inflammation

Inflammation of the meninges, the protective membranes covering the brain and spinal cord, often causing symptoms like fever, headache, and a stiff neck.

Stiff Neck

A condition characterized by soreness and difficulty in moving the neck, often due to muscle strain or tension.

Severe Headache

A significant and intense pain in the head, often requiring medical attention.

Subcutaneous Fat

A layer of fat located under the skin that helps insulate the body and acts as an energy reserve.

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