(a) Compare the Maclaurin polynomials of degree 4 and degree 5, respectively, for the functions f(x) = e^x and g(x) = xe^x. What is the relationship between them?

(b) Use the result in part (a) and the Maclaurin polynomial of degree 5 for f (x) = sin x to find a Maclaurin polynomial of degree 6 for the function g(x) = x sin x.

(c) Use the result in part (a) and the Maclaurin polynomial of degree 5 for f (x) = sin x to find a Maclaurin polynomial of degree 4 for the function g(x) = (sin x)/x.