Chapter 10.2, Problem 2E

1. Determine a possible equation for each polynomial function. a) f(x)= d) f (x) = c) f(x) = f) f (x) =

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Fill in the coefficients of the degree 3 Taylor polynomial for f(x) = sin x centered at x = 3 T3(x) = [ Select ] %D [ Select ] - (x – ) + [ Select ] (x - 5)² 3 [ Select ] - (x - 5)* IT 3

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2. Find a polynomial that interpolates (-1,4) and (3,6), then find the value of f(x) at x=0 and x= 2.

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Find a general formula for the Taylor polynomial of f(x) = (1 + x)1/3 about a = 0