5. Suppose g is a function with continuous derivatives, and that go)-3,g'(o)-2,g"0)-1,and g" (0)--3. a) What is the Taylor polynomial of degree 2 for g, centered at a o? b) what is the Taylor polynomial of degree 3 for g, centered at a=0 ? c) Useç³(x) and (x) to approximate g(0.1). 6. For the function f(x)-Inx: a) List the first four derivatives of f(x). b) What are the values of the first four derivatives of f(x) evaluated at a-1? c) Write T,(x) as a polynomial in the "long form: A+Blx-o)+Cx-o+Ex-o d) Optional Challenge question: Write T,(x) using summation notation. e) Graph f(x),äº(x),ä¸(x), (x), and (x) on the same set of axes, with-Q5cxs2 and-5cy