Find the order 3 Taylor polynomial 73 (@) of function given. Use exact values. f(z) = ( - 7x + 55) at a = 4. Ta(a) =Find T (a): Taylor polynomial of degree 5 of the function f(r) = cos(x) at a = 0. Ts(a) = Using the Taylor Remainder Theorem, find all values of a for which this approximation is within 0.003128 of f(a). Assume for simplicity that we limit ourselves to |r| 7TFor the given function and interval, find the smallest value of n such that the remainder estimate M (n + 1)! , where M is the maximum value of f(n+1) (a) on the interval, yields 1 1000 f(x) = e-5x on [- 1, 1] n =