please help on this too. please explain this on blank peice of paper rather typing ...

Taylor polynomials can be used to approximate other non-polynomial functions on a specified domain. The level of accuracy is determined by the degree of the Taylor polynomial. 6. Let's visualize some Taylor polynomials. a) Draw the graph of the function y= sin x on a coordinate plane. b) Compute T, x), T, x), and T x) for this function using Taylor polynomials centered at the origin. (When a=0, as it does in this case, we may refer to these as Maclaurin polynomials.) c) Draw the graphs of T, (x), T, x), and Ts(x) on the same coordinate plane. d) Why do you think we skipped T2(x) and T x)? e) Describe what happens as we graph Taylor polynomials of higher degree. Make a prediction about what we would see if tried to draw Ts (x). 7. Now let's shift our focus slightly. a) Compute Tix, T, x), and Is x for the same function y= sin x using Taylor polynomials centered at n/3. b) Without drawing new graphs, explain how the graphs of these Taylor polynomials would