Find the degree 3 Taylor polynomial T3 (x) of function f(x) = (-7x + 46)³/2 %3D at a = 6. T3(x) =

A(x)-x-2x+2- Sin(a) Centered at g=l (x) ぴ-200+2-3う 2. 2 Sesier. Find the Taylor

Calculate the Taylor polynomials T₂(x) and T3(x) centered at x = a for f(x) = 14 sin(x), a = = 22. (Express numbers in exact form. Use symbolic notation and fractions where needed.) T₂(x) = T3(x) =

Exercise 2. (a) Write the Taylor polynomial of degree 6 centered at π for cosx. (b) Use ≈ 3.14159 and the above polynomial to find an approximate value of cos(3). Round your answer to 5 digits after the decimal sign. (c) Use a computing device to find the value of cos(3). Round the output to 5 digits after the decimal sign. (d) Write the difference between the values that you obtained in parts (b) and (c).