Pre-Calculus, 9th edition
15

 PAGE: 331 SET: Exercises PROBLEM: 15

Newtons Law of Cooling is

Here is the temperature of the object and is the surrondings temperature.

Change in temperature .

At the intital time

and .

Substitute and in the equation .

.

The general equation is .

Substitute in the above equation.

After three minutes, the temperature is then.

Hence .

substitute and in the above equation

Substitute in the equation at .

The equation is

Find the temperature after minutes.

The equation is .

.

Temperature after minutes :

Substitute and in the equation .

.

Temperature after minutes is .

The equation is

Find the temperature after minutes.

The equation is .

.

Temperature after minutes :

Substitute and in the equation .

.

Temperature after minutes is .

Temperature after minutes is and Temperature after minutes is .

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