Question: a. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following


a. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following function centered at the given point a. c. Use the polynomials obtained in parts a. and b. to approximate the given quantity. 1/3 3 f(x) = x , a = 1; approximate 0.7\" l a.p1(x)= 1+;(x-1) _ 3 9 2 b. p2(x)- 1+Z(x- 1)+ (x-1) c. Using the linear approximating polynomial to estimate, 0.7\"3 is approximately El. (Type an integer or decimal rounded to five decimal places as needed.) Using the quadratic approximating polynomial to estimate. 0.71 f3 is approximately E. (Type an integer or decimal rounded to five decimal places as needed.)
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