(a) Find the polynomial whose value and slope agree with the value and slope of at the

Chapter 2, Problem 3

(choose chapter or problem)

(a) Find the polynomial whose value and slope agree with the value and slope of at the point (b) Find the polynomial whose value and first two derivatives agree with the value and first two derivatives of at the point This polynomial is called the second-degree Taylor polynomial of at (c) Complete the table comparing the values of and What do you observe? (d) Find the third-degree Taylor polynomial of at xyx2

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