(1 point) Suppose gg is a function which has continuous derivatives, and that g(7)=5,g(7)=4g(7)=5,g(7)=4, g(7)=4g(7)=4, g(7)=1g(7)=1.

(a) What is the Taylor polynomial of degree 2 for gg near 77? P2(x)=P2(x)=

(b) What is the Taylor polynomial of degree 3 for gg near 77? P3(x)=P3(x)=

(c) Use the two polynomials that you found in parts (a) and (b) to approximate g(7.1)g(7.1). With P2P2, g(7.1)g(7.1) With P3P3, g(7.1)g(7.1)