Unformatted text preview:  f ( x )  is less than 104 . (b) The function f ( x ) from part (a) has a root between 0 and 1, and another root between 1 and 2, since f (0) and f (2) are positive while f (1) is negative. In part (a) we estimated one of these roots. Now estimate the other using the bisection rule, ending when  f ( x )  < 1 / 3. 7. (a) Calculate the Lagrange polynomial p ( x ) that ﬁts the following data points: (0 . 92 , 3 . 45) , (1 . 34 , 5 . 78) , (2 . 06 , 4 . 15) . (b) Use your answer in (a) to interpolate a value of the function at x = 1 . 25. 1...
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 Spring '11
 STADNIK
 Numerical Analysis, general solution, following differential equations, Professor Jason Levy

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