Math 153 Concept Check 12 Problem 1) (3) Find the 6\"1 degree Taylor polynomial, centered at 0, of the function f(x) = sin(x2). (Note: There is an easy way to answer this question, and there is a hard way to answer this question.) (b) Use your answer to part (a) to estimate the value of g I sin(xz) dx 0 Problem 2) Consider the problem of using a Taylor polynomial centered at 0 to approximate f (x) = cos(x). (a) If we consider values ofx between -0.1 and 0.1, and we use a 2\"'1 degree Taylor polynomial, what is the worst case scenario error? (b) If we use a 4th degree Taylor polynomial, and we want the error to be less than 0.02, what values ofx can we consider? (c) If we consider values of 2: between 1r and It, and we want the error to be less than 0.1, what degree Taylor polynomial should we use