A body whose temperature is 180°C is cooled by immersing in a liquid at 60°C. In one minute, the temperature of the body has fallen to 120° C. The rate at which the body temperature (7) change at time t is given by the equation T- -k(T-60). Calculate the time it take for the temperature of the body to fall to 90°C. dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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6.
A body whose temperature is 180°C is cooled by immersing in a liquid at 60°C.
In one minute, the temperature of the body has fallen to 120° C. The rate at which
the body temperature (T) change at time t is given by the equation dT=
dt
-k(T – 60). Calculate the time it take for the temperature of the body to fall to
90°C.
Transcribed Image Text:6. A body whose temperature is 180°C is cooled by immersing in a liquid at 60°C. In one minute, the temperature of the body has fallen to 120° C. The rate at which the body temperature (T) change at time t is given by the equation dT= dt -k(T – 60). Calculate the time it take for the temperature of the body to fall to 90°C.
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