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Let f be a function satisfying f 0 0 f 0 8 f 0 5...

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Algebra

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Let f be a function satisfying f 0 0 f 0 8 f 0 5 and f x 12 for 0 x 1 a The second Taylor polynomial p x of f about x 0 has the form p x ao a a x with ao a1 a2 b We approximate the function f by the second Taylor polynomial p of f about x 0 in the interval 0 1 Usin Taylor s theorem with the Lagrange remainder find the biggest a and the smallest b such that a and write the values of a and b in the boxes below b 1 1 ABY a f b

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