MATH 1C calculus
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Get it written →MATH 1C QUIZ 4 NAME: Directions: Show all your work neatly and orderly. 1. Find the Taylor series of the function f (x) = Z 1 2. Use power series to approximate 1 at a = 1. (Do not verify Rn (x) → 0.) x sin(x2 ) dx correct to within 10−4 . 0 3. Find the maximum error possible in the approximation cos x ≈ 1 − x2 x4 + 2! 4! when −0.5 ≤ x ≤ 0.5. Use this approximation to find cos 10◦ correct to six decimal places.
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