HW7_3 Ball bearings are hardened through a process known as quenching-submersion of the heated bearing in oil or water in order to cool it rapidly. The data below represent the temperature of the ball points in the cooling process time (sec) 0| 30 60 Temp (C) 800 457 269 79 46 150 240 Plot the data (as discrete points). In the same figure window, also plot a) interpolating polynomial, (use polyfit and polyval) b) piecewise cubic interpolation (not-a-knot) and c) piecewise cubic interpolation (shape-preserving) nclude a legend for the three methods used: polynomial interpolation, not-a-knot, shape-preserving. Then looking at the plot, choose the method you believe to be the best and smoothest fit of all these to he temperature after 3 minutes of cooling. Print the result using fprintf.

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HW7_3 Ball bearings are hardened through a process known as quenching-submersion of the heated ball
bearing in oil or water in order to cool it rapidly. The data below represent the temperature of the ball at various
points in the cooling process
time (sec) 0 30
Temp (C) 800 457 269 79 46
60
150 240
Plot the data (as discrete points). In the same figure window, also plot
a) interpolating polynomial, (use polyfit and polyval)
b) piecewise cubic interpolation (not-a-knot) and
c) piecewise cubic interpolation (shape-preserving)
Include a legend for the three methods used: polynomial interpolation, not-a-knot, shape-preserving.
Then looking at the plot, choose the method you believe to be the best and smoothest fit of all these to predict
the temperature after 3 minutes of cooling. Print the result using fprintf.
Transcribed Image Text:HW7_3 Ball bearings are hardened through a process known as quenching-submersion of the heated ball bearing in oil or water in order to cool it rapidly. The data below represent the temperature of the ball at various points in the cooling process time (sec) 0 30 Temp (C) 800 457 269 79 46 60 150 240 Plot the data (as discrete points). In the same figure window, also plot a) interpolating polynomial, (use polyfit and polyval) b) piecewise cubic interpolation (not-a-knot) and c) piecewise cubic interpolation (shape-preserving) Include a legend for the three methods used: polynomial interpolation, not-a-knot, shape-preserving. Then looking at the plot, choose the method you believe to be the best and smoothest fit of all these to predict the temperature after 3 minutes of cooling. Print the result using fprintf.
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