The following data are the measured temperature T of water owing from a hot water faucet after
Question:
The following data are the measured temperature T of water owing from a hot water faucet after it is turned on at time t = 0.
a. Plot the data, connecting them rst with straight lines and then with a cubic spline.
b. Estimate the temperature values at the following times, using linear interpolation and then cubic spline interpolation: t = 0.6, 2.5, 4.7, 8.9.
c. Use both the linear and cubic spline interpolations to estimate the time it will take for the temperature to equal the following values: T = 75, 85, 90, 105.
Transcribed Image Text:
t (sec) T ('F) t (sec) T (F) 72.5 6. 109.3 1 78.1 7 110.2 2 86.4 8 110.5 3 92.3 9. 109.9 4 110.6 10 110.2 5 111.5
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a To plot the data we first connect the points with straight lines and the...View the full answer
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