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San Diego State University Operations And Supply Chain Management Assignment Help - Derivative

Question - The rate of cooling of a body (Figure) can be expressed as

Where T = temperature of the body (°C). Ta = temperature of the surrounding medium (°C), and k = a
proportionality constant (per minute) Thus, this equation (called Newton’s law of cooling) specifies
that the rate of cooling is proportional to the difference in the temperatures of the body and of the
surrounding medium. If a metal ball heated to 80°C is dropped into water that is held constant at Ta =
20°C, the temperature of the bell changes, as in

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