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A body at a temperature of 50^(@) F is p...

A body at a temperature of `50^(@)` F is placed outdoors where the temperature is `100^(@)`F. If the rate of change of the temperature of a body is proportional to the temperature differenece between the body and its surrounding medium. If after 5 min the temperature of the body is `60^(@)`F, find (a) how long will take the body to reach a temperature of `75^(@)`F and (b) the temperature of the body after 20 min.

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