The measured temperature during a 5 hour period in a suburb ofLos Angeles on novemeber 8 are given in the following table.
a)use program 4.1 to construct a lagrange interpolatorypolynomial for the data in table.
b)Use algorithm 4.1(iii) to estimate the average temperatureduring the given 5 hour period.
c)Graph the data in the table and the polynomial from part a onthe same coordinate system. Discuss the possible error that canresult from using polynomial in part (a) to estimate the averagetemperature.
Time, P.M.Degrees Fehrenhait166266365464563663
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