Question 11 > Find the first five non-zero terms of the Taylor series for f (a ) = - centered at x = 2. + Written compactly, this series is n=1Question 12 Suppose g is a function which has continuous derivatives, and that g(0) = 2, g'(0) = -5, g"(0) = 6 and g"(0) = 18. What is the Taylor polnomial of degree 2 for g, centered at a = 0? T2(a) = What is the Taylor polnomial of degree 3 for g, centered at a = (? T3(x) = Use T2 (a) to approximate g(0.1) ~ Use T3 (a) to approximate g(0.1) ~For the function f(x) = 15 + 8x + 5x + 2x3, find the following Taylor polynomials (all centered at a = 3): To(x) = Ti(x) = T2(x) = T3(x) = TA(a ) =Let f(z) = cos(z). centered at a = 0. Find the maximum size of the error when estimating f(0.9) with a 5th degree Taylor polynomial of f(z), Ol (When choosing K, use the smallest possible bound as done in lecture.) (0.9) T5(0.9)