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(a) Give the second-order Taylor polynomial T2(x) for the function f(x)=x^1/2, centered at x=9. (b) Use Taylor's Theorem to give the Error Term E2(x)= f(x)-T2(x),
(a) Give the second-order Taylor polynomial T2(x) for the function f(x)=x^1/2, centered at x=9.
(b) Use Taylor's Theorem to give the Error Term E2(x)= f(x)-T2(x), as a function of x and some z between 9 and x. (Note that here we are using z instead of which is used in the notes).
(c) Give an upper bound for the error E2(12).
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