3. (10 pts) a. Through experimentation, a scientist observed that f (0) = 2, f'(0) = -3/2, f"(0) = 1/3 (approximate values, but take them as exact values for our purposes). What is the degree 2 Taylor polynomial of f(r) around x = 0? b. Use the Taylor polynomial you found above to find the degree 4 Taylor polynomial for the function g(x) = xf(x?) + 1 + x. Use the latter polynomial to approximate g(0.02)