(20 points) The ice extent at the North Pole is estimated using remote sensing from satellites. The January extent from the last few decades is shown in the table in units of million square kilometers $(M km^{2})$ . Employing at least a third-order Newton's interpolating polynomial, compute the ice extent in 2002. Compare your estimate with the exact value of $14.57 M km^{2}$ .

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(20 points) The ice extent at the North Pole is estimated using remote sensing from satellites. The January extent from the last few decades is shown in the table in units of million square kilometers

(M km^{2})

. Employing at least a third-order Newton's interpolating polynomial, compute the ice extent in 2002. Compare your estimate with the exact value of

14.57 M km^{2}

.

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