The following data come from a table that was measured with high precision. Use the best numerical method (for this type of problem) to determine y at x = 3.5. Note that a polynomial will yield an exact value. Your solution should prove that your result is exact. x 0 1.8 5 6 8.2 9.2 12 y 26 16.415 5.375 3.5 2.015 2.54 8

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The following data come from a table that was measured with high precision. Use the best numerical
method (for this type of problem) to determine y at x = 3.5. Note that a polynomial will yield an exact
value. Your solution should prove that your result is exact.

x 0 1.8 5 6 8.2 9.2 12
y 26 16.415 5.375 3.5 2.015 2.54 8
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