(1 point) Let C∞(R) be the vector space of "smooth" functions, i.e., real-valued functions f(x) in the variable x that have infinitely many derivatives at all points x E R. Let D: C°°(R) → C(R) and D2 C∞ (R)· → C(R) be the linear transformations defined by the first derivative D(f(x)) = f'(x) and the second derivative D² (f(x)) = ƒ"(x). a. Determine whether the smooth function g(x) = 7e-2x is an eigenvector of D. If so, give the associated eigenvalue. If not, enter NONE. Eigenvalue = b. Determine whether the smooth function h(x) = sin(6x) is an eigenvector of D2. If so, give the associated eigenvalue. If not, enter NONE. Eigenvalue =