Use​ Taylor's formula with n=2 to find the quadratic approximation of f(x)=(1+x)k at x=0 ​(k a​ constant). b.) If k=​4, for approximately what values of x in the interval [0,1] will the error in the quadratic approximation be less than​ 1/100?

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Q: If we apply Rolle's Theorem to the function f(x) = 2x2 – 20x – 8 on the interval [3, 7], how many…

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Q: Which of the following functions of æ is guaranteed by the Extreme Value Theorem to have an absolute…

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A: Given:

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Q: 1) Find the absolute extremum values of f(x) = x² – 4x + 8 over the interval [1, 4].

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A: A Maclaurin polynomial (Taylor polynomial at 0) expansion is given by,