Let p 1 and q 1 be the first-order Taylor polynomials for f(x) = x centered at
Question:
Let p1 and q1 be the first-order Taylor polynomials for f(x) = √x centered at 36 and 49, respectively.
a. Find p1 and q1.
b. Complete the following table showing the errors when using p1 and q1 to approximate f(x) at x = 37, 39, 41, 43, 45, and 47. Use a calculator to obtain an exact value of f(x).
c. At which points in the table is p1 a better approximation to f than q1? Explain this result.
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Step by Step Answer:
a We have Thus f36 36 6 f36 Px b Evaluating the errors gives 6 2 36 1 x 36...View the full answer
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Related Book For 
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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