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 f(x) = ;. a = 'l; approxnmate m E a. p1(x)=|j Use the remainder term to estimate the absolute error in approximating the following quantity with the nth-order Taylor polynomial centered at 0. cos (0.53), n = 3 Select the correct choice below and ll in the answer box to complete your choice. (Use scientic notation. Use the multiplication symbol in the math palette as needed. Do not round until the nal answer. Then round to two decimal places as needed.) if} A. Errors for M = 0.53 _ Errors for M =1 i; ;. C. Errors for M =0 ("3 D. Errors for M = E What is the minimum order of the Taylor polynomial centered at 0 for cos x required to approximate the following quantity with an absolute error no greater than 105? cos ( - 0.56) The minimum order of the Taylor polynomial is n = |