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The rate of change of the temperature of the coffee is given by the following differential equation, where T is measured in degrees Fahrenheit and t is in minutes. The time to reach a certain temperature, T =185 F t = 4 min
dT/dt = 0.041(T – 75)
a. Use Euler's mothod with a stop size of 0.5 to estimate the temperature of coffee after 5 minutes.
b. Analyses the effect of step size on the error use of appropriate graph is recommended.
c. Find out the exact temperature of coffee solving the ordinary differential equation.
d. Compute the absolute error using the exact temperature determine in step c
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