cylider head temperature. Assume that the following set of temperature measurements is taken from the cylinder head in a new engine that is being tested for possible use in a race car time in seconds:0.0,1.0,2.0,3.0,4.0,5.0 temperature:0.0,20.0,68.0,77.0,110.0
a)compare plots of these data assuming cubic spline interpolation for values between the data points using time values from 0 to 5 in increments of 0.1 s
b)using the data from part (a) find the time value for which there is the largest difference between its linear interpolated temperature and its cubic interpolated temperature
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