X X X2 The first three Taylor polynomials for f(x) = f4 + x centered at 0 are p0(x) = 2, p1(x) = 2 + Z' and p2(x) = 2 + Z - E' Find three approximations to 1'42. The approximation based on p0(x) is E. (Type an integer or decimal rounded to six decimal places as needed.) 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 1 W) = g. 8 =1; approxnmate m E) a. p1(x)=|:| 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. \"'0 = 3X3\". 8 = 9; approximate 8 (9.43/2) (3 a. p1(x)=|:|