2. Find the Taylor polynomial of degree three approximating the given function centered at the given points. a. f(x) = x at a = 4 b. f(x) = cos(2x) at = . [5] [5] 3. Find the Taylor polynomial of degree n = 4 for the function f(x) = ex centered at a = 3. Hence find f(3.31) 4. Estimate the integral 1 sint dt using a Taylor polynomial for sin t about t = 0 of degree 5. t [8] [10]